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Find a formula for the quadratic function whose graph has vertex  and y-intercept . 


Nov 10th, 2014

Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of -5
Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of -5
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standard form of equation for a parabola:+y=A%28x-h%29%5E2%2Bk

, (h,k)=(x,y) coordinates of the vertex

For given parabola:
y=A%28x-2%29%5E2-2

solve for A using coordinates of y-intercept (0,-5)
-5=A(0-2)^2-2
-5=4A-2
4A=-3
A=-3/4
equation of given quadratic function:
y=%28-3%2F4%29%28x-2%29%5E2-2

Source: http://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.657773.html

Nov 10th, 2014

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