SOLUTION: Determine the quadratic function with the given information. Given: vertex (3,-7) and y-intercept of -4 Answer in the form y=a(x-h)^2+k

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Question 929218: Determine the quadratic function with the given information.
Given: vertex (3,-7) and y-intercept of -4
Answer in the form y=a(x-h)^2+k
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!



A few simple steps gives

which allows you to use the given (0,-4) to evaluate a.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Determine the quadratic function with the given information.
Given: vertex (3,-7) and y-intercept of -4
Answer in the form y=a(x-h)^2+k


 ------ Vertex form of parabolic equation

A y-intercept of - 4 signifies coordinate point, (0, - 4)

 ------ Substituting all given values in vertex form of paraoblic equation to determine the value of "a"



9a = - 4 + 7

9a = 3

a = , or 

 -------- Vertex form of parabolic equation, based on given info 

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