Question

Write the quadratic function in vertex form.

y = x^2 - 6x + 7

A. y = (x + 3)^2 + 2

B. y = (x - 3)^2 - 2

C. y = (x + 3)^2 - 2

D. y = (x - 3)^2 + 2

Answer 1

Complete the square.

Answer 2

\[\rm {\begin{aligned} y - 7&=x^ 2 - 6x \\ \rm y + 2&=x^2 -6x + 9 \\ \rm y + 2&=(x - 3)^2 \\ \rm y &=(x - 3)^2 - 2\end{aligned}}\]