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Popular >

range of-x^2+4x-4

Solution

range

- x^{2} + 4 x - 4

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

Vertex of

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

Maximum

(2, 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 = - 1,

Vertex

(x_{v}, y_{v}) = (2, 0)

f (x) \leq 0

Popular Examples

intercepts of f(x)=3x-y=9 intercepts

f (x) = 3 x - y = 9

intercepts of f(x)=-x+3y=-2 intercepts

f (x) = - x + 3 y = - 2

domain of log_{10}(x^2-1)domain

lo g_{10} (x^{2} - 1)

domain of f(x)=(x+9)/(x^2-9)domain

f (x) = \frac{x + 9}{x ^{2} - 9}

domain of f(x)=(7x+3)/x domain

f (x) = \frac{7 x + 3}{x}

Frequently Asked Questions (FAQ)

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