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Popular >

range of (x-1)^2-4

Solution

range

(x - 1)^{2} - 4

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

(x - 1)^{2} - 4 :

Minimum

(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) \geq - 4

Popular Examples

domain of f(x)= 5/(sqrt(x-7))domain

f (x) = \frac{5}{x - 7}

domain of f(x)=x^2+3x-2 domain

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

inverse of f(x)= 1/(x-12)inverse

f (x) = \frac{1}{x - 12}

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

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

intercepts of f(x)=-7x-6y=-15 intercepts

f (x) = - 7 x - 6 y = - 15

Frequently Asked Questions (FAQ)

What is the range of (x-1)^2-4 ?
The range of (x-1)^2-4 is f(x)>=-4