Question

Given the quadratic relation y = -x2 + 6x - 6, a) write the equation in vertex form b) graph the quadratic relation (using notebook, Google Drawings, or by hand) using transformations on y = x2. Insert your graph image (or link) here.

I am pretty sure that for this one vertex form is -(x-3)^2+3
Double check that answer and then graph it please!

Answer 1

• y = -(x -3)² +3 . . . . (agrees with your answer)
• see the attachment for a graph

Explanation:

Factoring the leading -1 from the first two terms, we have ...

... y = -(x² -6x) -6

Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...

... y = -(x² -6x +9) -6 +9

... y = -(x -3)² +3