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Popular >

f(x)=-(x+3)^2+5

Solution

f (x) = - (x + 3)^{2} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (5 - 3, 0), (- 5 - 3, 0), Y Intercepts : (0, - 4)

Vertex : Maximum (- 3, 5)

Inverse : - x + 5 - 3, - - x + 5 - 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

- (x + 3)^{2} + 5 : - \infty < x < \infty

Range of

- (x + 3)^{2} + 5 : f (x) \leq 5

Axis interception points of

- (x + 3)^{2} + 5 :

X Intercepts

: (5 - 3, 0), (- 5 - 3, 0),

Y Intercepts

: (0, - 4)

Vertex of

- (x + 3)^{2} + 5 :

Maximum

(- 3, 5)

Inverse of

- (x + 3)^{2} + 5 : - x + 5 - 3, - - x + 5 - 3

Popular Examples

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

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

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

f (x) = 2 x^{2} + 4 x + 8

x = t^{2} - t

y = 2 x^{2} - 2 x - 12

Frequently Asked Questions (FAQ)

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