Felicia rewrote a quadratic function in vertex form.
h(x)= x2−6x+7
Step 1: h(x)= (x2−6x+ 9 )+7
Step 2: h(x)=(x2−6x+ 9 )+7 −9
Step 3: h(x)=(x−3 )2+2
Felicia said that the vertex is (3, 2). Is Cole correct? If not, identify the step in which Felicia made the mistake and correct her work.
Felicia's mistake is in Step 2. The correct step should be:
Step 2: h(x)= (x2−6x+ 9 )+7 −9
Step 2: h(x)= (x2−6x+ 9 ) - 2
With the corrected step, the vertex form of the quadratic function h(x) is:
h(x) = (x - 3)2 - 2
Therefore, the correct vertex is (3, -2), not (3, 2).