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Popular >

f(x)=-3(x+4)^2+1

Solution

f (x) = - 3 (x + 4)^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (\frac{1}{3} - 4, 0), (- \frac{1}{3} - 4, 0), Y Intercepts : (0, - 47)

Vertex : Maximum (- 4, 1)

Inverse : - \frac{x - 1}{3} - 4, - - \frac{x - 1}{3} - 4

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{1}{3} - 4, 0), (- \frac{1}{3} - 4, 0),

Y Intercepts

: (0, - 47)

Vertex of

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

Maximum

(- 4, 1)

Inverse of

- 3 (x + 4)^{2} + 1 : - \frac{x - 1}{3} - 4, - - \frac{x - 1}{3} - 4

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Frequently Asked Questions (FAQ)

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