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Popular >

f(x)=-(2x-3)^2+9

Solution

f (x) = - (2 x - 3)^{2} + 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 9

X Intercepts : (3, 0), (0, 0), Y Intercepts : (0, 0)

Vertex : Maximum (\frac{3}{2}, 9)

Inverse : \frac{- x + 9 + 3}{2}, \frac{- - x + 9 + 3}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 9]

Solution steps

Domain of

- (2 x - 3)^{2} + 9 : - \infty < x < \infty

Range of

- (2 x - 3)^{2} + 9 : f (x) \leq 9

Axis interception points of

- (2 x - 3)^{2} + 9 :

X Intercepts

: (3, 0), (0, 0),

Y Intercepts

: (0, 0)

Vertex of

- (2 x - 3)^{2} + 9 :

Maximum

(\frac{3}{2}, 9)

Inverse of

- (2 x - 3)^{2} + 9 : \frac{- x + 9 + 3}{2}, \frac{- - x + 9 + 3}{2}

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f (x) = 10 x + 3 3 x + 1

Frequently Asked Questions (FAQ)

What is the f(x)=-(2x-3)^2+9 ?
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