Equation of a parabola for y=a(x-3)^2+k if it goes through (0,-16) and (2,8).

Question

Grade 10, parabolas, find the equation problems, word problems.

Answer 1

Here's what you should do.

Substitute(x,y) = (0,-16) in the equation; you get an equation involving a & k.

Now substitute the other pair of (x,y) into the parabola's equation, giving you second equation involving a & k.

These two new equations are linear.

 

You have a system of 2 equations, 2 unknowns.  Solve by any convenient method.