Question

Write each function in vertex form and identify its vertex.

1. f(x) = x^2 + 6x -7
2. f(x) = 2x^2 - 12x - 27

Answer 1

vertex form is\[y= a(x-h)^2 + k\]

Answer 2

can you do it now?

Answer 3

uhm not sure

Answer 4

still stuck:/

Answer 5

okay. I will do first one\[y = x^2+6x -7 \\ y = (x^2 +6x + 9) -9 -7 (9\ is \ square\ of\ half \ of\ the\ coefficient\ of \ 'x')\]

Answer 6

hmm, wait how did you get 9 again? its the half of the coefficient of x, idk how that works

Answer 7

hey, I am back\[6x \rightarrow 6 \rightarrow \frac{6}{2} \rightarrow 3 \rightarrow 3^2 \rightarrow 9 \]

Answer 8

that's how 9 comes in

Answer 9

\[y = (x+3)^2 - 16 \\ vertex point (-3,-16)\]

Answer 10

Ohhhhhh, I see now, ok thank you so much