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?

a =

Value of a is -2.

Step-by-step explanation:

Given:

Vertex of the Quadratic function is ( 6 , 2 )

y-intercept of the function is ( 0 , -70 )

The equation of the function in intercept form ,

f(x) = a( x - h )² + k where ( h , k ) is vertex and k is y-intercept.

To find: Value of a.

According to the question, putting values in intercept form we get

-70 = a( 0 - 6 )² + 2

-70 -2 = a(-6)²

36a = -72

a = -2

Therefore, Value of a is -2.