Maths-
General
Easy
Question
Write each function in standard form .
F(x)= -2(x-9)2 +15
Hint:
The standard quadratic form is ax2+bx+c=y, the vertex form of a quadratic equation is y=a(x−h)2+k.
The correct answer is: f(x) = -2x2 + 36x - 147.
We have given the function in Vertex form , we have to convert it into standard form.
F(x)= -2(x-9)2 +15
On further solving this function we will get
F(x) = -2 ( x2 - 18x + 81 ) + 15
= -2x2 + 36x - 162 + 15
= -2x2 + 36x - 147
Therefore, the standard form of given function is f(x) = -2x2 + 36x - 147.
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