SOLUTION: write the equation of a quadratic f(x) such that f(0)=8 and a vertex at x=0.

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Question 156738: write the equation of a quadratic f(x) such that f(0)=8 and a vertex at x=0.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the vertex is at x=0 and f%280%29=8 (which means that when x=0, then y=0), this means that the vertex is at the point (0,8). Now remember, the quadratic y=a%28x-h%29%5E2%2Bk has the vertex (h,k). So this means that in this case h=0 and k=8


y=a%28x-h%29%5E2%2Bk Start with the general quadratic in vertex form


y=a%28x-0%29%5E2%2B8 Plug in h=0 and k=8


y=ax%5E2%2B8 Subtract


So the quadratic equation which has the vertex at (0,8) is y=ax%5E2%2B8 where "a" can be any number. For example, y=2x%5E2%2B8 has the vertex at (0,8)