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Popular >

y=2(x+3)^2-1

Solution

y = 2 (x + 3)^{2} - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (\frac{1}{2} - 3, 0), (- \frac{1}{2} - 3, 0), Y Intercepts : (0, 17)

Vertex : Minimum (- 3, - 1)

Inverse : \frac{x + 1}{2} - 3, - \frac{x + 1}{2} - 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{1}{2} - 3, 0), (- \frac{1}{2} - 3, 0),

Y Intercepts

: (0, 17)

Vertex of

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

Minimum

(- 3, - 1)

Inverse of

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

Popular Examples

y = - 2 x^{2} + 8 x - 20

f (θ) = tan (3 θ)

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

derivative of sin^3(xcos(x))

\frac{d}{d x} (sin^{3} (x) cos (x))

solvefor r,r=tan(θ)sec(θ)solve for

r, r = tan (θ) sec (θ)

Frequently Asked Questions (FAQ)

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