Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x^2-8x-3

Answers

Answer 1

Answer:

x = 1 and vertex = (1, - 7 )

Step-by-step explanation:

Given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

The the equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 4x² - 8x - 3 ← is in standard form

with a = 4, b = - 8 , then

x = - [tex]\frac{-8}{8}[/tex] = 1

That is equation of axis of symmetry is x = 1

Substitute x = 1 into the function for y- coordinate of vertex

y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7

vertex = (1, - 7 )


Related Questions

What repeating decimal does
8/9 equal to in value

Answers

0.88888. Divide 8 by 9 and you should get that answer, with 8 repeating.

The Bremen City School System is opening an all girls academy next school year. The girls choose one top (Green or Yellow), one pant (Khaki or Blue, and one pair of shoes (dress or white), What is the probability of choosing white shoes and a green shirt?

Answers

Answer:

0.25 = 25% probability of choosing white shoes and a green shirt

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

The probability of choosing a shoe is independent of the shirt. So we find each separate probability, and then multiply them.

Probability of choosing white shoes:

2 shoes option, one of which is white. So

[tex]P(A) = \frac{1}{2}[/tex]

Probability of choosing a green shirt:

2 shirts options, one of which is green. So

[tex]P(B) = \frac{1}{2}[/tex]

What is the probability of choosing white shoes and a green shirt?

[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}[/tex]

0.25 = 25% probability of choosing white shoes and a green shirt

Which sum or difference ls modeled by the algebra tiles? HELPPP PLEASEE ASAPPPP

Answers

Answer:

Option C / C.

(x2 + 4x − 2) − (-x2 + 2x − 4) = 2x2 + 2x + 2

Step-by-step explanation:

Please help me with part a and b

Answers

Answer:Hey Its Not showing anything on me end

Step-by-step explanation:

Evaluate the expression

Answers

Answer:

You were really lazy here. This is simple. its 16. PLZ GIVE ME BRAINLIEST

Step-by-step explanation:

2x^2 is 2* x^2 which is 2*3^2=2*9=18. y^1=5^1=5. 3x^0=3*x^0=3*3^0=3*1=3(Anything to the power of 0 is 1). So 18-5+3=16.

Answer:

16

Step-by-step explanation:

2×3^2-5+3×3^0

2×3^2-5+3×1

2×9-5+3×1

18-5+3×1

18-5+3

13+3

16

Will give brainliest and 30 points


Find y.
Do not round your answer.
9 in
5 in
Х
19 in
y = [ ? ] in

Answers

Answer:

[tex]x \times 19 = 9 \times 9 \\ x = \frac{81}{19} \\ y \times 5 = 9 \times 9 \\ y = \frac{81}{5} = 16.2[/tex]

Answer:

11.2

Step-by-step explanation:

find the angle measure given extended triangles

help pls

Answers

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

KETO-SNACKS Tenlos a la mano para

Answers

Answer:

Here's 21 yummy keto snacks:

https://www.healthline.com/nutrition/best-keto-snacks

Hope u love em <3

Step-by-step explanation:

Which ones are functions and which ones are not

Answers

Answer:

For the graph part, A is not a function and B is a function. For the bottom part, A is a function and B is not a function.

Step-by-step explanation:

Top

A is NOT a function because it had failed the vertical line test, meaning that it has multiple outputs for each input which makes it not successful when taking the vertical line test. B is a function since it passed the vertical line test. Always use the vertical line test to see whether or not the graph met the requirement of having the input have one output.

Bottom

A is a function because the input contains one output. B is NOT a function since 5 contains 2 different outputs.

The outputs can be with multiple inputs, whereas the inputs cannot be with multiple outputs since they wouldn't meet the requirement during the vertical line test.

9) What is the result of adding 3 to -3?​

Answers

Answer:

0

Step-by-step explanation:

Answer:

3 to -3? = 0

Step-by-step explanation:

Hope this helped you!

carline drives 25 minutes to the store. it takes her 3 minutes to walk in the store from the parking lot. If carline spends 5 hours and 36 minutes traveling to the store and back in one month, how many round trip visits to the store does carline take to the store each month

Answers

Answer:

6 round trip visits

Step-by-step explanation:

25 min drive to the store + 3 min to walk in the store + 3 min to walk back to car + 25 min to drive home = 56 total minutes for one round trip.

5 hours and 36 minutes = (5x60)+36 minutes=336 minutes

336 minutes/56 min per trip = 6 round trips

William spent 35% of his money and was left with $71.50. How much did he have at first.

Answers

Answer:

$204.29

Step-by-step explanation:

Ratios:

[tex]\frac{35}{100} =\frac{71.5}{x} \\\\35x=7150\\x=204.29[/tex]

Double check:

204.29(0.35) = 71.50

Suppose you draw a card from a wall shuffled deck of 52 cards what is the probability of drawing a 4 or a Jack

Answers

the odds of drawing a jack from a deck of 54 is 1 in 13.5 or 4/54

Can Someone Help Me Please. ?

Answers

Answer:

The answer is the third option from the top:

0, 0, 11, 15, 26, 32, 45, 46, 46, 46, 60, 71, 84, 88

PLEASE HELP! No links, I just need answer and explanation please!
What is x and y??

Answers

9514 1404 393

Answer:

x = 90y = 64

Step-by-step explanation:

If we take the arcs to mean that those angles are congruent, then the sum of exterior angles is ...

  x° +2y° +75° +67° = 360°

  y = 109 -x/2 . . . . . . subtract non-x terms and divide by 2

Because x° forms a linear pair with a right angle, we know ...

  x° = 180° -90° = 90°

Then ...

  y = 109 -90/2 = 64

The values of x and y are 90 and 64, respectively.

What is the answer this is a math question

Answers

Answer:

1221 - 321 = 900

Step-by-step explanation:

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

What option gives possible rates and times for two of his jogs?

Answers

Answer:

The correct answer of this question is,

4mph for 2.5hr and 5mph for 2hr.

Answer:

The correct answer to your question is the first option.

Step-by-step explanation:

twenty subtract from 28

Answers

Answer:

8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

20-28= -8

Question 17 of 25
A density graph for all the possible speeds between 0 mph and 320 mph is in
the shape of a triangle. What is the height of the triangle?
A. 0.025
B. 0.003125
C. 0.00625
D. 0.0125
SUBMIT

Answers

ok so it’s pretty much be D. kinda hard to explain but i hope it helped

please help with question!!!!!!!!!!!!!!!!!!

Answers

Answer:

b is the four sided dice and a is the 6 sided dice

cooking like a chef im a five star michellin

Answers

Answer:

0o0

Step-by-step explanation:

umm... oki buddy

Answer;

oo nice

Step by step Explanation

Solve the following inequality. x >-1


Answers

Answer:

( − 1 , ∞ )

Step-by-step explanation:

( − 1 , ∞ )

In a card game, a player eams 5 points for each red card drawn. If the player has a score of -20, how many red cards has the player drawn?

A. -100

B.-4

C. 4

D. 100



Hep please

Answers

Answer:

-4

Step-by-step explanation:

-20 divided by 5 = -4

Factor. Check by multiplying
2a - 14 = ?

Answers

Answer: 2a - 14 = 2(a - 7)

Step-by-step explanation:

Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).

Answer: -14

Step-by-step explanation:

Wilson Swartz rents a car for 5 days at $51.29 a day and has unlimited miles. Wilson drives 198 miles and spends $29.90 on gasoline. The CDW fee is $15.50 per day. What is the total cost? What is the cost per mile?

Answers

Answer:

Total cost=333.95

Cost per mile=6.622

Step-by-step explanation:

5x51.29=256.45

5x15.50-77.50

256.45+77.50=333.95

What is the axis of symmetry of the absolute value function y=-2|x+4.5|-1.4?
A. x= -4.5
B. X= 4.5
C. X= 1.4
D. x= -1.4

Answers

The answer is c. X=1.4

Please help me giving brainliest

Answers

Answer:

42cm^2

3x2=6x7=42

Step-by-step explanation:

I NEED HELP ASAP plsssssss

Answers

Answer:

#1=24   #2=36   #3=77   #4=21

Step-by-step explanation:

Hope this helps

Answer:

1-8×3=24

2-9×4=36

3-11×7=77

4-7×3=21

but don't forget to put units and put square

2.2 x 0.42 =
pls help

Answers

Answer:

0.924

Step-by-step explanation:

Answer:

0.924

Step-by-step explanation:

Just times them together. By the way, you can search them up.

A bird bath holds 4 liters of water. How
many milliliters of water does it hold?

Answers

Answer:

4,000

Step-by-step explanation:

If there is 4 liters and 1,000 milliliters is in each liter then the answer would be 4,000. As for this you just do 1,000 x 4 because there is 4 liters.

Answer:

4000 ml

Step-by-step explanation:

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