Question

Please help!! ill give 20pts

1) y=x2+24x+43

find the vertex form by completing the square SHOW ALL WORK!!!

2) Given the function f(x)=−x2+8x+9, state whether the vertex represents a minimum or maximum point for the function. Explain your answer.

Answer 1

1. Vertex is (-12, -101)

2. Vertex is (4, 25)

Explanation:

1)

`y = x^(2) + 24x + 144 + 43 - 144\\ = (x + 12)^(2) - 101`

Vertex is (-12, -101)

2)

`y = -x^(2) + 8x + 9\\ = -(x^(2) - 8x + 16) +9 + 16\\ = -(x - 4)^(2) + 25`

Vertex is (4, 25)