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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (\frac{5}{3} - 2, 0), (- \frac{5}{3} - 2, 0), Y Intercepts : (0, - 7)

Vertex : Maximum (- 2, 5)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 7)

Vertex of

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

Maximum

(- 2, 5)

Inverse of

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

Popular Examples

y=3sin((pix)/2)

y = 3 sin (\frac{π x}{2})

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

y = \frac{1}{2 - x}

f(x)=10x^3(x-1)^2

f (x) = 10 x^{3} (x - 1)^{2}

f (x) = {x + 2, x < 0}

Frequently Asked Questions (FAQ)

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