SOLUTION: Write the standard form of the parabola that has a vertex(-2,5) and whose graph passes through the point (0,9). Sketch the graph and label the essential points.

Algebra ->  Graphs -> SOLUTION: Write the standard form of the parabola that has a vertex(-2,5) and whose graph passes through the point (0,9). Sketch the graph and label the essential points.      Log On


   

Question 885781: Write the standard form of the parabola that has a vertex(-2,5) and whose graph passes through the point (0,9). Sketch the graph and label the essential points.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form y=a%28x-h%29%5E2%2Bk.
Vertex is (h,k)=(-2,5);
y=a%28x-%28-2%29%29%5E2%2B5
y=a%28x%2B2%29%5E2%2B5;
You want to use the other point to find a.
a%28x%2B2%29%5E2=y-5
a=%28y-5%29%2F%28x%2B2%29%5E2
a=%289-5%29%2F%280%2B2%29%5E2
a=4%2F4=1
-
RESULT: highlight%28y=%28x%2B2%29%5E2%2B5%29, and the a=1 is implied or understood.