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Popular >

f(x)=-2(x+1)^2+4

Solution

f (x) = - 2 (x + 1)^{2} + 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 4

X Intercepts : (2 - 1, 0), (- 2 - 1, 0), Y Intercepts : (0, 2)

Vertex : Maximum (- 1, 4)

Inverse : - \frac{x - 4}{2} - 1, - - \frac{x - 4}{2} - 1

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 4]

Solution steps

Domain of

- 2 (x + 1)^{2} + 4 : - \infty < x < \infty

Range of

- 2 (x + 1)^{2} + 4 : f (x) \leq 4

Axis interception points of

- 2 (x + 1)^{2} + 4 :

X Intercepts

: (2 - 1, 0), (- 2 - 1, 0),

Y Intercepts

: (0, 2)

Vertex of

- 2 (x + 1)^{2} + 4 :

Maximum

(- 1, 4)

Inverse of

- 2 (x + 1)^{2} + 4 : - \frac{x - 4}{2} - 1, - - \frac{x - 4}{2} - 1

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Frequently Asked Questions (FAQ)

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