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Popular >

range of y=-4x^2

Solution

range

y = - 4 x^{2}

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

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

Popular Examples

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

f (x) = x^{2} - x + 1

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

f (x) = \frac{2 x ^{3} + 2}{x ^{2} + 5 x + 11}

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

f (x) = \frac{9 x}{x + 1}

domain of f(x)=5x+1 domain

f (x) = 5 x + 1

domain of f(x)=2x^2-x+4 domain

f (x) = 2 x^{2} - x + 4

Frequently Asked Questions (FAQ)

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