Answer:
f(x) = y = 1/2 x²
Step-by-step explanation:
This is quadratic function:
f(x) = y = c · x²
We can pick up two points from the graph A(2,2) and B(4,8), when we replace this two points in the formula we get:
2 = c · 2² => 2 = c · 4 => c = 2 / 4 = 1 / 2
8 = c · 4² => 8 = c · 16 => c = 8 / 16 = 1 / 2
We conclude that coefficient c = 1 / 2
Finally we get :
f(x) = y = 1/2 x²
God with you!!!
