Question
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = -4Ix – 2I – 1
- Moves to the right by 1 unit, goes up by 4 unit and gets vertically stretched.
- Moves to the right by 2 units, goes down by 1 unit and gets vertically compressed.
- Moves to the right by 2 units, goes down by 1 unit, gets reflected across the x-axis and vertically stretched.
- Moves to the right by 4 units, goes up by 1 unit and gets reflected across the x-axis and vertically compressed.
Hint:
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
The correct answer is: Moves to the right by 2 units, goes down by 1 unit, gets reflected across the x-axis and vertically stretched.
We have the graph of f(x) = |x|. We have to describe the transformations to get the graph of g(x) = -4I(x – 2)I – 1.
Comparing the above equation with f(x) = a I(x – h)I + k, we get h = 2.
So, graph moves to the right by 2 units.
Also, k = -1.
So, graph moves down by 1 unit.
And, a = -4.
So, graph gets reflected across the x-axis and gets vertically stretched.
Hence, the correct option is C.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Related Questions to study
Evaluate the following piecewise function for x = 0 and x = 5

Evaluate the following piecewise function for x = 0 and x = 5

Express the function as a piecewise-defined function.
f(x) = -IxI
Express the function as a piecewise-defined function.
f(x) = -IxI
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1
Know how to visualize a graph.
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1
Know how to visualize a graph.
Express the function as a piecewise-defined function.
f(x) = 6 IxI
Express the function as a piecewise-defined function.
f(x) = 6 IxI
Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
The graph of f(x) is shown. What is the range for the domain x < −2 ?

The graph of f(x) is shown. What is the range for the domain x < −2 ?

What function g describes the graph of f after the given transformation?
f(x) = IxI; vertically stretched by a factor of 3 and reflected across the x-axis.
Know what the terms vertically stretching and reflection means.
What function g describes the graph of f after the given transformation?
f(x) = IxI; vertically stretched by a factor of 3 and reflected across the x-axis.
Know what the terms vertically stretching and reflection means.
What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.
Read the problem carefully in order to understand the direction of the axes.
What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.
Read the problem carefully in order to understand the direction of the axes.