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Popular >

y=(x-5)^2-2

Solution

y = (x - 5)^{2} - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2

X Intercepts : (2 + 5, 0), (- 2 + 5, 0), Y Intercepts : (0, 23)

Vertex : Minimum (5, - 2)

Inverse : x + 2 + 5, - x + 2 + 5

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, \infty)

Solution steps

Domain of

(x - 5)^{2} - 2 : - \infty < x < \infty

Range of

(x - 5)^{2} - 2 : f (x) \geq - 2

Axis interception points of

(x - 5)^{2} - 2 :

X Intercepts

: (2 + 5, 0), (- 2 + 5, 0),

Y Intercepts

: (0, 23)

Vertex of

(x - 5)^{2} - 2 :

Minimum

(5, - 2)

Inverse of

(x - 5)^{2} - 2 : x + 2 + 5, - x + 2 + 5

Popular Examples

f (x) = x^{2} - 8 x - 11

f(x)=x^3-18x^2+81x

f (x) = x^{3} - 18 x^{2} + 81 x

f(x)=sqrt((x-1))log_{10}(2-x)

f (x) = (x - 1) lo g_{10} (2 - x)

g (x) = 5 x^{2}

f (x) = 4 \cdot 2^{x}

Frequently Asked Questions (FAQ)

What is the y=(x-5)^2-2 ?
The y=(x-5)^2-2 is