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Popular >

range of f(x)=y-6=(x+2)^2

Solution

range

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

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x + 2)^{2} :

Minimum

(- 2, 0)

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}) = (- 2, 0)

f (x) \geq 0

Popular Examples

simplify (0.3)(3)simplify

(0.3) (3)

asymptotes of f(x)=(7x)/(sqrt(9x-8))asymptotes

f (x) = \frac{7 x}{9 x - 8}

extreme f(x)=2x^3-3x^2-36x extreme points

f (x) = 2 x^{3} - 3 x^{2} - 36 x

simplify (1.3)(5.1)simplify

(1.3) (5.1)

extreme f(x)=x^3-6x^2+15 extreme points

f (x) = x^{3} - 6 x^{2} + 15

Frequently Asked Questions (FAQ)

What is the range of f(x)=y-6=(x+2)^2 ?
The range of f(x)=y-6=(x+2)^2 is f(x)>= 0