Quadratic Function

Question

Suppose g(x) = −2x2 +12x+4. Convert the quadratic function to vertex form by completing the square. Identify the vertex.

Answer 1

g(x) = -2(x² - 6x + 9) + 22

 

g(x) = 2(x - 3)(x - 3) + 22

 

g(x) = -2(x - 3)² + 22

 

 

Vertex is (3, 22)