Can someone explain/show me how to do this? Absolute Value Functions

Parent Function: f (x) = |x|

it asks for Characteristics:

Domain, Range, X-int, Y-Int

Increasing, decreasing

Then Transformations f (x) = f (x) = A| (x-B) | + C

A: B: C: - A:

Question

Malia Williams

Mathematics

13 October, 17:51

Can someone explain/show me how to do this? Absolute Value Functions

Parent Function: f (x) = |x|

it asks for Characteristics:

Domain, Range, X-int, Y-Int

Increasing, decreasing

Then Transformations f (x) = f (x) = A| (x-B) | + C

A: B: C: - A:

+4

Answers (1)

Know the Answer?

Gabrielle · Answer 1

Domain: - ∞
Range: - ∞
X-Intercept: x=0

Y-Intercept: y=0

Increasing on the interval of 0
Decreasing on the interval of - ∞
When A=0, the graph equals y=0

- When A is greater than 1, it makes the graph skinnier than f (x) = |x|

- When A is less than 1 but greater than 0, it makes the graph fatter than f (x) = |x|

- When A turns negative, it flips the graph upside down.

-When B is greater than 0, it translates the graph to the right

- When B is less than 0, it translates the graph to the left

When C is greater than 0, the graph moves upwards

When C is less than 0, the graph moves downwards

Can someone explain/show me how to do this? Absolute Value FunctionsParent Function: f (x) = |x|it asks for Characteristics:Domain, Range, X-int, Y-IntIncreasing, decreasingThen Transformations f (x) = f (x) = A| (x-B) | + CA: B: C: - A:

Can someone explain/show me how to do this? Absolute Value Functions

Parent Function: f (x) = |x|

it asks for Characteristics:

Domain, Range, X-int, Y-Int

Increasing, decreasing

Then Transformations f (x) = f (x) = A| (x-B) | + C

A: B: C: - A: