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Popular >

range of y=(x-5)^2

Solution

range

y = (x - 5)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 5)^{2} :

Minimum

(5, 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}) = (5, 0)

f (x) \geq 0

Popular Examples

asymptotes of f(x)=(x^2-2x-24)/(x^2-64)asymptotes

f (x) = \frac{x ^{2} - 2 x - 24}{x ^{2} - 64}

parity f(x)= 1/x-x parity

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

inverse of 1/(a-2)inverse

\frac{1}{a - 2}

slope of y= 2/3 x+3 slope

y = \frac{2}{3} x + 3

perpendicular y=3x-2,\at x=-1 perpendicular

y = 3 x - 2, at x = - 1

Frequently Asked Questions (FAQ)

What is the range of y=(x-5)^2 ?
The range of y=(x-5)^2 is f(x)>= 0