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 ( x^{2} - 18x + 81 ) + 15

= -2x^{2} + 36x - 162 + 15

= -2x^{2} + 36x - 147

Therefore, the standard form of given function is f(x) = -2x^{2} + 36x - 147.

F(x)= -2(x-9)

^{2}+15

On further solving this function we will get

F(x) = -2 ( x

^{2}- 18x + 81 ) + 15

= -2x

^{2}+ 36x - 162 + 15

= -2x

^{2}+ 36x - 147

Therefore, the standard form of given function is f(x) = -2x

^{2}+ 36x - 147.

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