Question

Write a quadratic function from its vertex and another point YGV You have priz A parabola opening up or down has vertex (0,-4) and passes through (-6,5). Write its equation in vertex form

Answer 1

To write the quadratic function in vertex form, use the vertex formula and solve for the constant.

Step-by-step explanation:

To write the quadratic function in vertex form, we need to use the vertex formula which is y = a(x - h)^2 + k, where (h, k) represents the vertex. In this case, the vertex is (0, -4), so h = 0 and k = -4.

Using the given point (-6, 5), we can substitute the values into the vertex form equation and solve for a:

5 = a(-6 - 0)^2 + (-4)

5 = 36a - 4

36a = 9

a = 9/36

a = 1/4

Therefore, the quadratic function in vertex form is y = (1/4)x^2 - 4.