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Popular >

range of y=-x^2-2x+3

Solution

range

y = - x^{2} - 2 x + 3

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- x^{2} - 2 x + 3 :

Maximum

(- 1, 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}) = (- 1, 4)

f (x) \leq 4

Popular Examples

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

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

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

f (x) = \frac{x + 1}{( x + 1 ) ^{2} - 3}

amplitude of cos(4x)amplitude

cos (4 x)

critical f(x)=((x+9))/(x+4)critical points

f (x) = \frac{( x + 9 )}{x + 4}

domain of f(x)=8sqrt(x)+5 domain

f (x) = 8 x + 5

Frequently Asked Questions (FAQ)

What is the range of y=-x^2-2x+3 ?
The range of y=-x^2-2x+3 is f(x)<= 4