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Popular >

range of (x+4)^2-9

Solution

range

(x + 4)^{2} - 9

Solution

f (x) \geq - 9

+1

Interval Notation

[- 9, \infty)

Solution steps

Vertex of

(x + 4)^{2} - 9 :

Minimum

(- 4, - 9)

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 = 1,

Vertex

(x_{v}, y_{v}) = (- 4, - 9)

f (x) \geq - 9

Popular Examples

inverse of g(x)= 1/(x-1)inverse

g (x) = \frac{1}{x - 1}

line (-2,4),(3,5)line

(- 2, 4), (3, 5)

domain of sqrt(x^2-2x-8)domain

x^{2} - 2 x - 8

distance (9,-9),(-4,5)distance

(9, - 9), (- 4, 5)

intercepts of f(x)=a^x intercepts

f (x) = a^{x}

Frequently Asked Questions (FAQ)

What is the range of (x+4)^2-9 ?
The range of (x+4)^2-9 is f(x)>=-9