SOLUTION: find quadratic function ax^2 + c with a graph that has the given points: 1.) (2, 5/2) and (0,-1/2) using those points, how can i come up with the function??

Question 105254This question is from textbook
: find quadratic function ax^2 + c with a graph that has the given points:
1.) (2, 5/2) and (0,-1/2)
using those points, how can i come up with the function?? This question is from textbook

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let the vertex be (0,-1/2), (h,k)
Let c=k (because I am more used to using k)
y=a(x-h)^2+k
y=a(x-0)^2-1/2
y(2)=5/2
5/2=a(2)^2-1/2
5/2=4a-1/2
4a=3
a=3/4
y=(3/4)x^2-1/2
Ed

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