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Popular Functions >

range of y=-4x^2

Solution

range

Solution

f (x) \leq 0

+1

Interval Notation

Solution steps

Vertex of

- 4 x^{2} :

Maximum

(0, 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 = - 4,

Vertex

(x_{v}, y_{v}) = (0, 0)

f (x) \leq 0

Graph

Popular Examples

asymptotes of f(x)=(2x^3+2)/(x^2+5x+11)

inverse of f(x)=(9x)/(x+1)

domain of f(x)=5x+1

perpendicular y=7x-1

critical x^4-x^3-6x^2-2x-1

Frequently Asked Questions (FAQ)

What is the range of y=-4x^2 ?
The range of y=-4x^2 is f(x)<= 0