SOLUTION: Write the standard form of the quadratic function with a vertex of (-3, 5) that passes through the point (0, 3).

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write the standard form of the quadratic function with a vertex of (-3, 5) that passes through the point (0, 3).       Log On


   

Question 1183003: Write the standard form of the quadratic function with a vertex of (-3, 5)
that passes through the point (0, 3).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Standard Form representation, y=a%28x-h%29%5E2%2Bk
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Putting the vertex values into the equation,
y=a%28x%2B3%29%5E2%2B5
y-5=a%28x%2B3%29%5E2
a=%28y-5%29%2F%28x%2B3%29%5E2
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Finding the value of "a" using the 'passing through' point,
a=%283-5%29%2F%280%2B3%29%5E2
a=-2%2F9
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highlight%28y=-%282%2F9%29%28x%2B3%29%5E2%2B5%29