Question

Write a quadratic function in vertex form whose graph has the vertex (-2, - 13) and passes

through the point (-6,3).

Answer 1

f(x) = ⁵/₈(x+2)² - 13

Explanation:

Vertex form of the equation of a quadratic function with vertex (h,k):

f(x) = a(x - h)² + k

To find a we need to put the point and the vertex into this equation:

3 = a(-6 + 2)² - 13

10 = a(-4)²

16a = 10

a = ⁵/₈

Therefore, vertex form of the quadratic function:

f(x) = ⁵/₈(x+2)² - 13