Question

What is the equation, in standard form, of a parabola that contains the following points? (-2, -20), (0, -4), (4, -20)?

Answer 1

\[y = ax^{2} +bx+c\]
plug in the points, then use the equations to find a,b,c
(0,-4)
\[c = -4\]
(-2,-20)
\[4a-2b-4 = -20\]
(4,-20)
\[16a+4b -4 = -20\]