Felicia rewrote a quadratic function in vertex form.
h(x)= x^2−6x+7
Step 1: h(x)= (x^2−6x+ )+7
Step 2: h(x)=(x^2−6x+ 9 )+7 −9
Step 3: h(x)=(x−3 )^2+2
Felicia said that the vertex is (3, 2). Is Felicia correct? If not, identify the step in which Felicia made the mistake and correct her work.
Felicia made a mistake in Step 2. The correct completion of the square for x^2 - 6x is +9, not -9.
So, the correct vertex form of the quadratic function h(x) is:
h(x) = (x - 3)^2 + 2
Therefore, Felicia's vertex of (3, 2) is correct.