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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 4

X Intercepts : (\frac{2}{3} + 2, 0), (- \frac{2}{3} + 2, 0), Y Intercepts : (0, - 8)

Vertex : Maximum (2, 4)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 4]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 8)

Vertex of

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

Maximum

(2, 4)

Inverse of

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

Popular Examples

g(x)=-(x^2)/4+7

g (x) = - \frac{x ^{2}}{4} + 7

y=(2x^3-3x)(x^3+5x)

y = (2 x^{3} - 3 x) (x^{3} + 5 x)

f (x) = sin (3 x) - 2

y = - 6 x - 13

f (x) = e^{(x)}

Frequently Asked Questions (FAQ)

What is the f(x)=-3(x-2)^2+4 ?
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