(2, .5) is on the graph of the function f(x) = ax^2. Find the value of a.

a = 1/8

Step-by-step explanation:

2 is the x value and y =.5

Substitute this into the equation

f(x) = ax^2

.5 = a(2)^2

.5 = a 4

Divide each side by 4

.5/4 = 4a/4

1/8 = a

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)