Determine the equation of the parabola:
Given two points at (-4,9) and (12,9). I figured out the axis of symmetry is x=4. Also given the y-intercept, which is (0,-3). Figure out the equation?
Thanks for the help!
Write the parabola in the form where are constants and .
It is symmetric about , so letting yields our desired parabola.
Now our parabola is in the form . Subsitutute the given values of (x,y) to obtain a system of equations in terms of and .