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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(33401)
(
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):
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Since the vertex is at
and
(which means that when
, then
), this means that the vertex is at the point (0,8). Now remember, the quadratic
has the vertex (h,k). So this means that in this case
and
Start with the general quadratic in vertex form
Plug in
and
Subtract
So the quadratic equation which has the vertex at (0,8) is
where "a" can be any number. For example,
has the vertex at (0,8)