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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (6, 0), (4, 0), Y Intercepts : (0, - 72)

Vertex : Maximum (5, 3)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (6, 0), (4, 0),

Y Intercepts

: (0, - 72)

Vertex of

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

Maximum

(5, 3)

Inverse of

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

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=-3(x-5)^2+3 ?
The f(x)=-3(x-5)^2+3 is