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Popular >

range of-3(x+6)^2+2

Solution

range

- 3 (x + 6)^{2} + 2

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

- 3 (x + 6)^{2} + 2 :

Maximum

(- 6, 2)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 3,

Vertex

(x_{v}, y_{v}) = (- 6, 2)

f (x) \leq 2

Popular Examples

domain of f(x)=((x+8))/((x)^{0.5)}domain

f (x) = \frac{( x + 8 )}{( x ) ^{0.5}}

asymptotes of f(x)=(-2x(2x-3))/((x-1)^2)asymptotes

f (x) = \frac{- 2 x ( 2 x - 3 )}{( x - 1 ) ^{2}}

domain of (x-3)/4 domain

\frac{x - 3}{4}

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

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

midpoint (3,-1),(-5,2)midpoint

(3, - 1), (- 5, 2)

Frequently Asked Questions (FAQ)

What is the range of-3(x+6)^2+2 ?
The range of-3(x+6)^2+2 is f(x)<= 2