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3 years ago

12

Melanie spent half of her allowance going to the movies. She washed the family car and earned 6 dollars. What is her weekly allo

wance if she ended with 18 dollars?
Show work to final answer.

1 answer:

padilas [110]3 years ago

7 0

Okay.. well did you try to do it on your own at least ? I help you, but what do you know already so we can go on from there.

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Step-by-step explanation:

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What is the quadratic function f(x)=x^2+6x-2 In vertex form?

Yuliya22 [10]

Answer: Option D

$f(x)=(x+3)^2 -k$

Step-by-step explanation:

For a quadratic function of the form

$ax ^ 2 + bx + c$

The x coordinate of the vertice is:

$x =-\frac{b}{2a}$

In this case the function is:

$f(x)=x^2+6x-2\\\\$

So

$a=1\\b=6\\c=-2$

The x coordinate of the vertice is:

$x=-\frac{6}{2*1}\\\\x=-3$

The y coordinate of the vertice is:

$f(-3) = (-3)^2 +6(-3) -2\\\\f(-3)=-11$

The vertice is: (-3, -11)

The form e vertice for a quadratic equation is:

$f(x)=(x-h)^2 +k$

Where

the x coordinate of the vertice is h and the y coordinate of the vertice is k.

Then h=-3 and k =-11

Finally the equation $f(x)=x^2+6x-2\\\\$ in vertex form is:

$f(x)=(x+3)^2 -k$

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