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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (\frac{3}{2} - 4, 0), (- \frac{3}{2} - 4, 0), Y Intercepts : (0, - 29)

Vertex : Maximum (- 4, 3)

Inverse : - \frac{x - 3}{2} - 4, - - \frac{x - 3}{2} - 4

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{3}{2} - 4, 0), (- \frac{3}{2} - 4, 0),

Y Intercepts

: (0, - 29)

Vertex of

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

Maximum

(- 4, 3)

Inverse of

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

Popular Examples

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f (x) = 2 (x + 5)^{2}

f(x)=sqrt(-6x^3-35x^2+47x-14)

f (x) = - 6 x^{3} - 35 x^{2} + 47 x - 14

Frequently Asked Questions (FAQ)

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