SOLUTION: Write the equation of the parabola described below in VERTEX FORM. vertex at open parentheses negative 3 comma space 2 close parentheses and passes through open parentheses nega

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Question 1002372: Write the equation of the parabola described below in VERTEX FORM.
vertex at open parentheses negative 3 comma space 2 close parentheses and passes through open parentheses negative 5 comma space negative 8 close parentheses

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
vertex form is y=a(x-h)^2 + k, where h and k are the vertex coordinates.
So, we have y=a(x+3^2) +2. Note that the sign of x changed.
Now we need a point to solve for a.
-8=a(-5+3)^2 + 2
-8=4a+2
4a=-10
a=-2.5
y= -2.5(x+3)^2+2
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2.5%28x%2B3%29%5E2%2B2%29