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Popular Functions >

range of f(x)=(x+20)^2-30

Solution

range

f (x) = (x + 20)^{2} - 30

Solution

f (x) \geq - 30

+1

Interval Notation

[- 30, \infty)

Solution steps

Vertex of

(x + 20)^{2} - 30 :

Minimum

(- 20, - 30)

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}) = (- 20, - 30)

f (x) \geq - 30

Graph

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Frequently Asked Questions (FAQ)

What is the range of f(x)=(x+20)^2-30 ?
The range of f(x)=(x+20)^2-30 is f(x)>=-30