Is this a function? why or why not ?

What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x 1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x 1)2 – 5

Maslowich

The vertex form of all expressions is given below.

We have given that the expressions

We have to write the function in vertex form.

<h3>What is the vertex form of the equation?</h3>

The vertex form of a quadratic function is given by f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Therefore the first equation

$f(x)=(x-1)^2-7$

it can be written as

$f(x)=1(x-1)^2+(-7)$

The second equation can be written as

$f(x) = (x+1)^2 -7$

vertex for is,

$f(x)=1(x-(-1))^2+(-7)$

The third equation is,

$f(x) = (x -1)^2 - 5$

Vertex form is,

$f(x)=1(x-1)^2+(-5)$

Forth equation is,

$f(x) = (x +1)^2 +(- 5)$

Vertex form is,

$f(x) =1 (x -(-1))^2 +(- 5)$

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3 0

2 years ago

The seventh grade class is putting on a verity shell to raise money it cost 1700 to rent the banquet hall That they are going to

MaRussiya [10]

Answer:

g

Step-by-step explanation:

3 0

3 years ago

William deposited $5,375 into an account that earns

nikklg [1K]

Answer:

I'm pretty sure its D if not I'm sry

7 0

3 years ago

Read 2 more answers

3.

sdas [7]

Answer:

Step-by-step explanation:

x = shoes and y = jackets

x + y = 46

y = x - 8

x + x - 8 = 46

2x - 8 = 46

2x = 46 + 8

2x = 54

x = 54/2

x = 27 <=== cost of shoes

y = x - 8

y = 27 - 8

y = 19 <=== cost of jacket

6 0

3 years ago

A roller coaster’s height is given by the equation h = –.046t2 + 5t +75, where t represents the time in seconds. How long will i

LuckyWell [14K]

A function assigns the values. The time it will take riders to pass over the hill and reach ground level is 122.05 seconds, thus, the correct option is A.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the height of the roller coaster is given by the function,

h = -0.046t²+5t+75

Now, when the roller coaster will complete the ride, therefore, pass over the hill and reach the ground level, the height of the coaster will be zero, therefore, the function will become.

0 = -0.046t²+5t+75

Now, taking the roots of t, we will get,

$t = \dfrac{-5\pm \sqrt{(5)^2-4(-0.046)(75)}}{2(-0.046)}\\\\t =-13.3583, 122.0539$

Since the value of the time can not be negative, therefore, the time will be 122.05 seconds.

Hence, the time it will take riders to pass over the hill and reach ground level is 122.05 seconds, thus, the correct option is A.

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4 0

2 years ago