what strategy can be used to transform a quadratic function in vertex form to standard form

Answers

Answer 1

Hello, I Am BrotherEye

Answer:

This Transparent inquisition can be solved Below

Use transformations to graph a quadratic function in vertex form. A quadratic function in standard form, f(x) = ax² + bx + c, can be changed into vertex form by completing the square. The vertex form of a quadratic function is f(x) = a(x – 5)2 + k, where the vertex of the function is (h, k).

Step-by-step explanation:

Vertex form to standard form converter

Write the parabola equation in the vertex form: y = a*(x-h)² + k ;

Expand the expression in the bracket: y = a*(x² - 2*h*x + h²) + k ;

Multiply the terms in the parenthesis by a : y = a*x² - 2*a*h*x + a*h² + k ;

Best Of Luck

BrotherEye

Related Questions

Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

Power of the Point Theorem:

x*3=6*2

3x=12

x=4

1. Anthony threw a ball from the top of a 10-story building that was 165 feet

tall. The equation g(165 - h) = v2 can be used to find the maximum

height the ball can attain after being thrown from the top of the building,

Rewrite the equation to highlight the maximum height attained by the

ball, h.

Answers

Answer:

[tex]h = 165 - \frac{v^2}{g}[/tex]

Step-by-step explanation:

Given

[tex]g(165 - h) = v^2[/tex]

Required

Make h the subject

[tex]g(165 - h) = v^2[/tex]

Divide both sides by g

[tex]165 - h = \frac{v^2}{g}[/tex]

Subtract 165 from both sides

[tex]165 - 165 - h = \frac{v^2}{g} - 165[/tex]

[tex]- h = \frac{v^2}{g} - 165[/tex]

Multiply both sides by -1

[tex]-1 * - h = (\frac{v^2}{g} - 165)*-1[/tex]

[tex]h = 165 - \frac{v^2}{g}[/tex]

help help help help help

Answers

Sheryl earns about 13$ an hour so what you have to do is multiply 13 by 9 and then if I’m correct then that answer should land somewhere on the Line drawn

Question is on picture

Please help
Zoom in if needed :D

Answers

96$ source: just trust me bro

your gym membership cost $33 per month after an initial membership fee. you paid a total of $228 after 6 months. writer an equation that gives the cost as a function of the length of your gym membership (in months). find the total cost after 9 months

Answers

Answer:

what i did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9-month total cost of $327

Step-by-step explanation:

cost = $33 per month + fee

1. c(m) = 33m + f

33(6) + f = 228

198 + f = 228

f = $30 membership fee

c(m) = 33m + 30

2. at 9 months: 33(9) + 30 = $327

hopefully this helps :)

have a nice day !!

Lucas scored 9 goals in 4 soccer games last season. Approximately how many points did Lucas average per game?

Answers

Answer:

Lucas scored approximately 2.25 or 2 1/4 goals per game.

Step-by-step explanation:

To find out just divide 9 to 4. Hope this helps :)

Lucas scored points at an average 2.25 per game.

What is average?

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.

Given:

Lucas scored 9 goals in 4 soccer games last season.

Average per game = total goals / total game.

= 9/4

= 2.25

Answer:

Step-by-step explanation:

The perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.

Answer:

The first method

Take a square root, then multiply it by 4.

The defining characteristic of a square is that its length is equal to its width. Take a look below:

Self-created

So, for this particular square, the area is length⋅width, or x⋅x=x2. Now, how can you go from this to perimeter?

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x.

Therefore, if given an area, all you'd do is take the square root (to get from x2 to x, and then multiply by 4 to find perimeter.

The second method

s=√A

P=4×s

Explanation:

To find the perimeter of square, you just need to know the length of one side, because in a square all the sides are the same length.

If you know the area, find the square root of it to find the side.

s2=A

∴s=√A

Now you multiply by 4

For example, if the area is 36cm2

A=36

s=√36=6

P=4×6=24

Step-by-step explanation:

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what is the GCF (greatest common factor) of 12 and 27.

Answers

Step-by-step explanation:

The GCF of these numbers is 3 i did found it by prime Factorization 12 prime Factorization is 3x2x2 and for 12 is 3x3x3 so 3 it is the same of both so us it and bye have a good day

Answer:

Since u got this answer could u mark me and thank you

Step-by-step explanation:

What is the mean of the following data set 5,9,5,2,,10

Answers

Answer:

6.2

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

mean is equal to all the numbers in the data set added together divided by the number of numbers in the data set

What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?

Answers

Answer: 21ft

Step-by-step explanation:

Answer:

the area of triangle is height ×base

6×7=42

i think this is the answer

A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on the shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16.
Which number could be the number of packages of flour tortillas the clerk put on the shelf?

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

Given

Jerry's

[tex]Base = 15in[/tex]

[tex]Height = 9in[/tex]

Charlene's

[tex]Base = Height = 13in[/tex]

Required

Compare both areas

The area of rhombus is:

[tex]Area = Base * Height[/tex]

For Jerry's

[tex]Area = 15in * 9in[/tex]

[tex]Area = 135in^2[/tex]

Charlene's

[tex]Area = 13in * 13in[/tex]

[tex]Area = 169in^2[/tex]

By comparison: Charlene's rhombus has a larger area by 34in^2

Answer:

I THINK THE ANSWER IS 1/9 WHICH IS THE 2ND ANSWER.

Step-by-step explanation:

I DONT HAVE AN EXPLANATION BUT I DO KNOW ITS ACCURATE

please help im trying to find "x"

Answers

Answer:

Step-by-step explanation:

Please help me.. I’m not really good at math so please??

Answers

what’s the question

The McDonald's Play Place is going to increase its ball pit size to allow for more fun! The ball pit was originally 10 feet by 12 feet. They have decided to increase each side by the same amount. Express the area of the new pit as a polynomial in simplest form.

Answers

Answer:

A = x² + 22x + 120

Step-by-step explanation:

Since the ball pit was originally 10 feet by 12 feet and each side is increased by the same amount which we would call x, the new length of sides are thus 10 + x and 12 + x respectively.

The area of the new pit is thus A = (10 + x)(12 + x), since it is a rectangle.

Expanding the brackets, we have

A = 10 × 12 + 10x + 12x + x²

collecting like terms, we have

A = 120 + 22x + x²

A = x² + 22x + 120

Solve x2 – 4х + 1 = 0.
x 2 + 215
оооо
х = 4 + 3
0 х 2 + 3
x = -2 + 3

Answers

Answer:

Use photo math, it will explain all the steps

which method between graph method and table method friendly use? Motivate your answer

Answers

Answer:

in my experience table method is friendly use because it is easier to work with than a graph

Graph is good for seeing the overall trend/pattern in your data

Table is good for knowing the specific numerics

Each has its pros and cons so use it based on your needs

How many triangles can a polygon with 32 sides be sectioned into?

Answers

32 sides of a polygon has 20 triangles.

At 100°F, a certain Insect chirps at a rate of 97 times per minute, and at 102°F, they chirp 111 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

Answer:

y = 7x - 603

Step-by-step explanation:

We start by determining the slope:

m = y2 - y1/x2 - x1 = 111 - 97/102 - 100 = 14/2 = 7,

Now we substitute the slope into the slope-intercept equation y = mx + b, solving for the y-intercept [b]:

111 = 7(102) + b,

b = -603

Equation: y = 7x - 603

this is standard form (9x10 to the power of -4) to the power of 2

Answers

Answer:

9×10 to the power of -8

Step-by-step explanation:

Cause when we add power to the power we multiply them

For example [tex](2^{2} )^2[/tex] , we multiply the power so , 2×2= 4 so [tex](2^{2} )^2[/tex] = [tex]2^{4}[/tex]=16

Same here [tex]((9*10)^{-4} )^2[/tex] we multiply the powers so -4×2=-8

So [tex]((9*10)^{-4} )^2[/tex] =[tex](9*10)^{-8}[/tex] = 2.323×[tex]10^{-16}[/tex]

9x10 to power of -8
Good luck

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