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Popular Functions >

range of-(x+5)^2+4

Solution

range

Solution

f (x) \leq 4

+1

Interval Notation

Solution steps

Vertex of

- (x + 5)^{2} + 4 :

Maximum

(- 5, 4)

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}) = (- 5, 4)

f (x) \leq 4

Graph

Popular Examples

intercepts of f(x)=(x-1)^3(x+3)^2

parity f(x)=sin(x)

range of 3x^2+6x+2

domain of x^2-3x

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

Frequently Asked Questions (FAQ)

What is the range of-(x+5)^2+4 ?
The range of-(x+5)^2+4 is f(x)<= 4