Question

:Please help, I really need help
For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work.
y = -2x2 + 2x +2

Answer 1

A good start is factoring out a "2"

Answer 2

can you take me through step by step

Answer 3

@MathNinja_C you there? o:

Answer 4

Can you look into your book and write the basic equation of a quadratic
in vertex form

Answer 5

I can try

Answer 6

y = a(x – h)2 + k
Does this look right

Answer 7

y = a(x-h)^2 + k

Answer 8

Sorry, not sure what happened to the first formula

Answer 9

Yo need to get the original to match the formula of y = a(x-h)^2+k.

I would start by moving the constant term of the other side and factoring out the two.

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

Answer 10

Can you que me into what might be the next step? Or are you confused

Answer 11

Sorry, I did my factoring wrong -2(x^2-x) = -2

Answer 12

$$

\Large y = -2x^2 + 2x +2 \\

\Large y = -2(x^2 +x) +2 \\
\Large y = -2(x^2 +x +\frac{1}{4} -\frac{1}{4} ) +2 \\

\Large y = -2((x+\frac{1}{2})^2 -\frac{1}{4} ) +2 \\

\Large y = -2(x+\frac{1}{2})^2 -2(-\frac{1}{4} ) +2 \\

\Large y = -2(x+\frac{1}{2})^2 +\frac{1}{2} +2 \\

\Large y = -2(x+\frac{1}{2})^2 +\frac{5}{2} \\
$$

Answer 13

Or perl can just give you the answer