Find an equation for the quadratic function whose graph contains the points (-6,3), (1,-32), and (-4,3).
I have many problems similar to this but I don't know how to set it up. Help would be great =]
Find an equation for the quadratic function whose graph contains the points (-6,3), (1,-32), and (-4,3).
I have many problems similar to this but I don't know how to set it up. Help would be great =]
All quadratics can be written in the form
$\displaystyle y = ax^2 + bx + c$.
By substituting the three points, you end up with three equations in three unknowns that you can solve simultaneously.
$\displaystyle 3 = a(-6)^2 + b(-6) + c$
$\displaystyle -32 = a(1)^2 + b(1) + c$
$\displaystyle 3 = a(-4)^2 + b(-4) + c$