Question
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.
- f(x) = 3IxI
- f(x) = (1/3)IxI
- f(x) = -Ix/3I
- f(x) = -3IxI
Hint:
Vertically stretched by a factor means where we have to multiply the function with a factor.
Reflected across the x-axis means the sign of the function changes.
The correct answer is: f(x) = -3IxI
Vertically stretched by a factor 3 means a = 3. So, f(x) becomes 3IxI
Reflected across the x-axis means f(x) becomes -3IxI.
Function: f(x) = -3IxI
Know what the terms vertically stretching and reflection means.
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