What is this function written in vertex form? f(x) = (x 2)2 3 f(x) = (x2 2x)2 3 f(x) = (x 1)2 2 f(x) = (x 3)2 2x

Answers

Answer 1

The vertex form of the give quadratic equation is f(x) = (x+1)² + 2

Vertex form of an equation

The standard vertex form of a quadratic equation is expressed as

y = a(x -h)² + k

where (h, k) is the vertex

Given the quadratic equation

f(x) = x^2 + 2x + 3

Complete the question

f(x) = (x^2+2x) + 3

f(x) = (x^2+2x+1)-1 + 3

f(x) = (x+1)² + 2

Hence the vertex form of the give quadratic equation is f(x) = (x+1)² + 2

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What Is This Function Written In Vertex Form? F(x) = (x 2)2 3 F(x) = (x2 2x)2 3 F(x) = (x 1)2 2 F(x)

Related Questions

What type of polynomial is P(x)=x^3-1?

Answers

That is binomial because it has 2 terms

According to no. of terms it's binomial since it has two terms , according to the power it's cubic function since the power of X is 3

PLEASE GIVE BRAINLIEST

0123456 7 8 9 10 what is this called.........ence.fill in the missing space.​

Answers

Answer:

sequence

Step-by-step explanation:

a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]

hope this helps!!

Answer: this, a set of number in an order, is called a sequence

fill in the blank: sequence

Suppose f(x)=x^2 and g(x)=5x^2. Which steamy best compares the graph of g(x) with the graph of f(x)?

Answers

By understanding and applying the concepts of dilation and quadratic functions, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

How to compare the graphs of two functions

In this questions we know two quadratic equations of the form y = a · x². f(x) is known as the canonical function as a = 1 and g(x) is the consequence of dilating f(x) vertically by a factor of 5. Now we proceed to present graphically between the two functions.

In a nutshell, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

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1. What is the binomial expansion of (x + 3)5? ​

Answers

Answer:

5x + 15

Step-by-step explanation:

To expand the binomial, you need to multiply each term inside the parentheses by 5.

(x + 3)5

= (x * 5) + (3 * 5)

= 5x + 15

Type the correct answer in the box

Answers

Answer:

[tex]log\boxed{7}[/tex]

Step-by-step explanation:

[tex]log\frac{14}{3}+log\frac{11}{5}-log\frac{22}{15}[/tex]

[tex]=log\bigg(\frac{14}{3}*\frac{11}{5}\bigg)-log\frac{22}{15}[/tex]

[tex]=log\bigg(\frac{14*11}{3*5}\bigg)-log\frac{22}{15}[/tex]

[tex]=log\bigg(\frac{154}{15}\bigg)-log\frac{22}{15}[/tex]

[tex]=log\bigg(\frac{154}{15}\div\frac{22}{15}\bigg)[/tex]

[tex]=log\bigg(\frac{154}{15}\times\frac{15}{22}\bigg)[/tex]

[tex]=log\bigg(\frac{154}{22}\bigg)[/tex]

[tex]=log\boxed{7}[/tex]

Which inequality is equivalent to 3+4/x>_x+2/x

Answers

Answer:

the right answer is the first one

2x+2 over x >0

Could someone help me on this?

Answers

The snswer is B lol get smarter
Jshshshshshshjajsjsjsjsjsjsjsjsjsjshsjdj


Given: NQ is the bisector of ZMNP and ZNMQ
ZNPQ
Prove: Δ MNQ =ΔΡΝΟ
M
N
Q
P

Answers

1) [tex]\overline{NQ}[/tex] is the bisector of [tex]\angle MNP[/tex] and [tex]\angle NMQ \cong \angle NPQ[/tex] (given)

2) [tex]\angle MNQ \cong \angle QNP[/tex] (a bisector splits an angle into two congruent angles)

3) [tex]\overline{NQ} \cong \overline{NQ}[/tex] (reflexive property)

4) [tex]\triangle MNQ \cong \triangle PNQ[/tex] (AAS)

I need help with Algebra every single time

Please help

Answers

Answer:

perimeter = 12 z + 3

Explanation:

The perimeter of a shape is the sum of all the sides.

Therefore, we add all the sides' lengths together:

perimeter = (4z - 2)+(3z + 3)+(z + 5)+(4z- 3)

= 12 z + 3

Use the graph of the exponential growth function

f(x) = a(2x) to determine which statement is true.


f(0) = 2 when a = One-half.

f(0) = 3 when a = 3.

f(1) = 9 when a = 9.

Answers

By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

How to analyze an exponential function

Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:

x = 0

2 = a · 2⁰

a = 2

x = 0

3 = a · 2⁰

a = 3

x = 1

9 = a · 2

a = 9/2

By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

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what value of x makes this equation true , use numerals instead of words.
-2x+3=-15

Answers

Answer:

x = 9

Step-by-step explanation:

-2x + 3 = -15

-2x = -18

x = 9

Answer:

9

Step-by-step explanation:

what value of x makes this equation true , use numerals instead of words.

-2x+3=-15

-2x + 3 = -15

-2x = -15 - 3

-2x = -18

x = -18 : (-2)

x = 9

--------------------

check

-2 * 9 + 3 = -15

-18 + 3 = -15

-15 = -15

the answer is good

A segment that intersects a circle in two points is called a ________________.

Answers

A segment that intersects a circle in two points is called a secant

The bar graph shows the number of customers at a nail salon each day for one week. What percent of the customers came on Friday or Saturday? Round your answer to the nearest hundredth of a percent. * I NEED ANSWER*

Answers

Answer:

Friday = 11.43%Saturday = 17.14%Friday & Saturday = 28.57%

Step-by-step explanation:

Total number of customers

⇒ 15 + 5 + 10 + 14 + 8 + 12 + 6 = 70

Percentage of customers who came on Friday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Friday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8}{70} \times 100\\\\& = \sf 11.43\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

Percentage of customers who came on Saturday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Saturday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{12}{70} \times 100\\\\& = \sf 17.14\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

Percentage of customers who came on Friday and Saturday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Fri\:and\:Sat\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8+12}{70} \times 100\\\\& = \sf 28.57\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

28.57 is the answer, and its rounded to the nearest hundredth

I need help with this please

Answers

2534+?  but its not that clear cant understand it

y = 5x, what is the domain of this function?

Answers

Answer: The domain would be all real numbers.

Step-by-step explanation:

This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.

Base area = 18 ft²
Volume=
11 ft
7

Answers

Answer:

nhddhdbndbd

Step-by-step explanation:

jh h benrheoek

Which solid is a Platonic solid?
Please hurry!!!

Answers

Answer:

The five Platonic solids (regular polyhedra) are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. In other words the second one.

3n-5p+2n=10 solve for n

Answers

Answer:

n=3p

Isolate the variable by dividing each side by factors that don't contain the variable.



3n - 5p + 2n = 10
5n - 5p = 10
5n = 10 + 5p
n = 2 + p

Which criterion can be used to prove abc and adc are congruent? triangles, abc and acd, are plotted on a grid that share a common side ac. angles cad and acb are marked congruent. angles cab and acd are marked congruent. a. sss b. aaa c. sas d. asa

Answers

The correct answer is option D which is ASA ( Angle - Side - Angle).

What is congruency?

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);

Angles BAC and DCA are congruent (from the diagram);

AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent with the ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Therefore the correct answer is option D which is ASA ( Angle - Side - Angle).

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One root of f (x) = x cubed 10 x squared minus 25 x minus 250 is x = –10. what are all the roots of the function? use the remainder theorem.

Answers

Answer:

x= -10 , x= -5 , x=5

Step-by-step explanation:

we are given function as

x^3+10x^2-25x-250

We are given one of zero is x=-10

we can find all possible factors of 250

so, we will check zeros at x=-5 and x=5

At x=-5:

we can plug x=-5

At x=5:

we can plug x=5

So, other zeros are

x=-5 and x=5

All zeros are

x=-10 , x=-5 , x=5

which of the following sets of inequalities​

Answers

Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality for the red portion is,

slope, m = (-2/-4) = 1/2

y-intercept is 2.

y ≤ (1/2)x + 2

The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2

y-intercept is -1.

y > 2x - 1

Hence, the correct options are 2 and 3.

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A number written in scientific notation has a ________ that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

Answers

A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten

The exponent is positive and equals the number of spaces to the left of the original decimal point.   When expressed in scientific notation, a negative exponent. The exponent's value is equal to how many places to the right the decimal has been pushed.

As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.

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387 kilograms = x grams
Answer:
a. 387,000g
b. 38,700g
c. 387g
d. 3.87g

Answers

Answer:

a

Step-by-step explanation:

I kilogram is 1000 grams

Hello! Im Sezina

The answer is letter A (just multiply the given by 1,000)

Help asap I need help really bad

Answers

Choice A. Domain is x values, and the graph starts at X=0 but continues off the graph to the right. So x >_ 0
Sorry for the weird symbol typing lol.

Answer: it's answer A

Step-by-step explanation:

It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)

and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.

The average of 7, 20, and X is 20. what is the value of X?

Answers

Answer:

33

Step-by-step explanation:

do it in reverse

there are 3 numbers

average is 20

that means total is 20 times 3 which is

60

7+20+x=60

27+x=60

x=60-27=

33

Answer:

x = 33

Step-by-step explanation:

we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present

for example,

the average of 2 and 20

2 + 20 = 22

(there are two numbers, so we divide by 2)

22 / 2 = 11

so, this example has an average of 11

we can apply the same logic to a variable:

we know that

[tex]\frac{20+7+x}{3}[/tex]  = 20

We can now solve for x:

[tex]\frac{20+7+x}{3}[/tex] = 20  

 · 3          ·3      {multiply both sides by 3}

20 + 7 + x = 60  {combine like terms}

27 + x = 60  {subtract 27 from both sides to isolate x}

x  = 33

{check answer:
7 + 20 + 33 = 60

60 / 3 = 20      (divided by 3 because we have 3 numbers) }

so, the value of x is 33

(x = 33)

hope this helps!!

my father is 4 times old as me. after 5 years my father will be 3 times old how old is my father now

Answers

Answer:

Step-by-step explanation:

the atomic mass unit is presently based on assigning an exact integral mass (in amu) to an isotope of an hydrogen oxygen sodium carbon helium


a. hydrogen

b. oxygen

c. sodium

d. carbon

e. helium

Answers

Answer:

The reference atomic mass is carbon-12 when calculating atomic masses.

Step-by-step explanation:

The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.

Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.

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What term does the formula sin A/a = sin B/b represent?

Answers

Answer:

Law of sines

Explanation:

The law of sines states that the ratios of the sines of angles and their opposite sides are equal for all angles inside a triangle.

Step-by-step explanation:

hope you can understand

Order these fractions from smallest to lowest
1[tex]\frac{1}{2} \frac{7}{12} \frac{2}{17}[/tex]

Answers

Answer: [tex]\frac{1}{2} \frac{2}{17} \frac{7}{12}[/tex]

Step-by-step explanation:

How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions

Answers

Answer:

one solution

(second option listed)

Step-by-step explanation:

We can that these two lines, each representing one equation/function, only meet at one specific value.

In a system of equations, we are essentially looking for a solution that works for both equations.

So, if both lines share a point/value (meaning they intersect), that point is a solution to the system of equations.

Because these lines only overlap at one point, this system of equations has one solution.

Answer:

1 solution (C)

Explanation:

They have one point of intersection.

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