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Popular >

f(x)=-(x-3)^2+1

Solution

f (x) = - (x - 3)^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (4, 0), (2, 0), Y Intercepts : (0, - 8)

Vertex : Maximum (3, 1)

Inverse : - x + 1 + 3, - - x + 1 + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

- (x - 3)^{2} + 1 : - \infty < x < \infty

Range of

- (x - 3)^{2} + 1 : f (x) \leq 1

Axis interception points of

- (x - 3)^{2} + 1 :

X Intercepts

: (4, 0), (2, 0),

Y Intercepts

: (0, - 8)

Vertex of

- (x - 3)^{2} + 1 :

Maximum

(3, 1)

Inverse of

- (x - 3)^{2} + 1 : - x + 1 + 3, - - x + 1 + 3

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Frequently Asked Questions (FAQ)

What is the f(x)=-(x-3)^2+1 ?
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