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Popular >

y=3(x-3)^2-3

Solution

y = 3 (x - 3)^{2} - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

X Intercepts : (4, 0), (2, 0), Y Intercepts : (0, 24)

Vertex : Minimum (3, - 3)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (4, 0), (2, 0),

Y Intercepts

: (0, 24)

Vertex of

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

Minimum

(3, - 3)

Inverse of

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

Popular Examples

f(x)=x^3-6x^2-15x+4

f (x) = x^{3} - 6 x^{2} - 15 x + 4

f(x)=3cos(2x-pi)

f (x) = 3 cos (2 x - π)

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

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

y = x^{4} + 2 x^{2} - x

f(x)=(sin(1/x))/x

f (x) = \frac{sin ( \frac{1}{x} )}{x}

Frequently Asked Questions (FAQ)

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