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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (\frac{5}{2} + 3, 0), (- \frac{5}{2} + 3, 0), Y Intercepts : (0, - 13)

Vertex : Maximum (3, 5)

Inverse : - \frac{x - 5}{2} + 3, - - \frac{x - 5}{2} + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{5}{2} + 3, 0), (- \frac{5}{2} + 3, 0),

Y Intercepts

: (0, - 13)

Vertex of

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

Maximum

(3, 5)

Inverse of

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

Graph

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Frequently Asked Questions (FAQ)

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