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Popular >

f(x)=4(x-3)^2+5

Solution

f (x) = 4 (x - 3)^{2} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 5

Y Intercepts : (0, 41)

Vertex : Minimum (3, 5)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [5, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 41)

Vertex of

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

Minimum

(3, 5)

Inverse of

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

Popular Examples

f(t)=sin^2(2t)+(6-t)^2-5e^{-4t}

f (t) = sin^{2} (2 t) + (6 - t)^{2} - 5 e^{- 4 t}

y = \frac{2}{x ^{2} - 4}

f(x)=3x^4+2x^2+x-2

f (x) = 3 x^{4} + 2 x^{2} + x - 2

f(x)=(sqrt(x+1))/(x-2)

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

f(x)=2sqrt(x^2-5x+6)+3sqrt(-x^2+5x-4)

f (x) = 2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4

Frequently Asked Questions (FAQ)

What is the f(x)=4(x-3)^2+5 ?
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