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Popular >

y=-6(x-5)^2+12

Solution

y = - 6 (x - 5)^{2} + 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 12

X Intercepts : (2 + 5, 0), (- 2 + 5, 0), Y Intercepts : (0, - 138)

Vertex : Maximum (5, 12)

Inverse : - \frac{x - 12}{6} + 5, - - \frac{x - 12}{6} + 5

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 12]

Solution steps

Domain of

- 6 (x - 5)^{2} + 12 : - \infty < x < \infty

Range of

- 6 (x - 5)^{2} + 12 : f (x) \leq 12

Axis interception points of

- 6 (x - 5)^{2} + 12 :

X Intercepts

: (2 + 5, 0), (- 2 + 5, 0),

Y Intercepts

: (0, - 138)

Vertex of

- 6 (x - 5)^{2} + 12 :

Maximum

(5, 12)

Inverse of

- 6 (x - 5)^{2} + 12 : - \frac{x - 12}{6} + 5, - - \frac{x - 12}{6} + 5

Popular Examples

f(x)=(3x^2)/(x^2+2x-8)

f (x) = \frac{3 x ^{2}}{x ^{2} + 2 x - 8}

f(x)=\sqrt[3]{2x+4}

y = 4 sin (2 x) + 3

f(s)=(s^2+s+e^{-s})/(s^3+3s^2+3s+1)

f (s) = \frac{s ^{2} + s + e ^{- s}}{s ^{3} + 3 s ^{2} + 3 s + 1}

f(x)=-3x^2-12x-8

f (x) = - 3 x^{2} - 12 x - 8

Frequently Asked Questions (FAQ)

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