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Dstermine the equation of function

Azurin

New member
Sep 30, 2020
3
The equation of the axis of symmetry of the graph of a quadratic function is x=-1. The graph passes through the points (0,3) and (-3, 9). Determine the equation of the function.
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
716
$y = a(x-h)^2 + k$

you are given $h = -1$

write two equations using the two given (x,y) coordinates and solve the system for $a$ and $k$
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,132
The equation of the axis of symmetry of the graph of a quadratic function is x=-1. The graph passes through the points (0,3) and (-3, 9). Determine the equation of the function.
Actually, there are two solutions... one with a = A and one with a = -A. This corresponds to one parabola opening upward and another opening downward.

-Dan