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Popular >

f(x)=3(x+5)^2+1

Solution

f (x) = 3 (x + 5)^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1

Y Intercepts : (0, 76)

Vertex : Minimum (- 5, 1)

Inverse : \frac{x - 1}{3} - 5, - \frac{x - 1}{3} - 5

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

3 (x + 5)^{2} + 1 : - \infty < x < \infty

Range of

3 (x + 5)^{2} + 1 : f (x) \geq 1

Axis interception points of

3 (x + 5)^{2} + 1 :

Y Intercepts

: (0, 76)

Vertex of

3 (x + 5)^{2} + 1 :

Minimum

(- 5, 1)

Inverse of

3 (x + 5)^{2} + 1 : \frac{x - 1}{3} - 5, - \frac{x - 1}{3} - 5

Graph

Popular Examples

f(n)=8^{n+2}+9^{2n+1}

f (n) = 8^{n + 2} + 9^{2 n + 1}

f(x)=sqrt(20x-5x^2)

f (x) = 20 x - 5 x^{2}

y=(t^4-1)/(t^4+1)

y = \frac{t ^{4} - 1}{t ^{4} + 1}

y = 3 x - 31

y=(0.25)*e^{-4t}+te^{-4t}-1/4 cos(4t)

y = (0.25) \cdot e^{- 4 t} + t e^{- 4 t} - \frac{1}{4} cos (4 t)

Frequently Asked Questions (FAQ)

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