Write each function in vertex form and identify its vertex.

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

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

lochana · Answer

vertex form is$$y= a(x-h)^2 + k$$

lochana · Answer

can you do it now?

joshoyen · Answer

uhm not sure

joshoyen · Answer

still stuck:/

lochana · Answer

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

joshoyen · Answer

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

lochana · Answer

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

lochana · Answer

that's how 9 comes in

lochana · Answer

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

joshoyen · Answer

Ohhhhhh, I see now, ok thank you so much