Question
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1
- Moves to the right by 6 units, goes up by 1 unit and gets vertically compressed
- Moves to the left by 6 units, goes down by 1 unit and gets vertically compressed
- Moves to the left by 1 unit, goes down by 6 units and gets vertically stretched
- Moves to the right by 6 units, goes down by 1 unit and gets vertically stretched
Hint:
When we multiply a function with a factor denoted with a it is called vertically compression. Know how to depict moving up ,down ,left ,right on axes be depicted in a formula.
The correct answer is: Moves to the left by 6 units, goes down by 1 unit and gets vertically compressed
f(x) = aIx – hI + k
h = -6 so graph moves to the left by 6 units.
k = -1 so graph moves down by 1 unit.
a = 1/3 so graph gets vertically compressed.
Know how to visualize a graph.
Related Questions to study
Express the function as a piecewise-defined function.
f(x) = 6 IxI
Express the function as a piecewise-defined function.
f(x) = 6 IxI
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The graph of f(x) is shown. What is the range for the domain x < −2 ?

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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.