Question

The vertex of a quadratic function is (6, 2), and the y-intercept of the function is (0, −70). The equation of the function in vertex form, f(x)=a(x−h)2+k, is shown.

−70=a(0−6)2+2

What is the value of a?

−6
−2
2
6

Answer 1

To find the value of "a", substitute the known values into the equation:

-70 = a(0 - 6)^2 + 2
-70 = a(36) + 2
-70 = 36a + 2
-72 = 36a
a = -2

Therefore, the value of "a" is -2.