Question

What is the equation, in standard form of a parabola that contains the following points. (-2,24) (0,4) (4,60)

Answer 1

f(x) = ax^2 + bx + c

Create these:

f(-2) = 24
f(0) = 4
f(4) = 60

f(0) = 4 give x = 4

f(x) = ax^2 + bx + 4

Create these:

f(-2) = 24
f(4) = 60

And solve the small system for a and b.