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Popular Functions >

range of y=-x^2+4x-1

Solution

range

y = - x^{2} + 4 x - 1

Solution

f (x) \leq 3

+1

Interval Notation

(- \infty, 3]

Solution steps

Vertex of

- x^{2} + 4 x - 1 :

Maximum

(2, 3)

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}) = (2, 3)

f (x) \leq 3

Graph

Popular Examples

domain of ((x^2-9))/(x-3)

intercepts of f(x)=3[x-2]-4

inverse of f(x)= 2/5 x+4

inverse of f(x)=3x^3-12

Frequently Asked Questions (FAQ)

What is the range of y=-x^2+4x-1 ?
The range of y=-x^2+4x-1 is f(x)<= 3