Question

A quadratic function has a vertex at the point (-4, 2)and passes through the point (-8,-6)

Answer 1

Answer:

• y = -1/2(x + 4)² + 2 or y = -1/2x²- 4x - 6

Step-by-step explanation:

Given

• Vertex = (-4, 2)
• The graph passes through the point (-8, -6)

The function in vertex form is:

• y = a(x + 4)² + 2

Substitute the coordinates of (-8, -6) and find the value of a:

• -6 = a(-8 + 4)² + 2
• -8 = 16a
• a = -1/2

The function is:

• y = -1/2(x + 4)² + 2

or in standard form:

• y = -1/2(x² + 8x + 16) + 2 = -1/2x²- 4x - 6