For y= a∙b(x—h) + k, how does adding a constant k transform the parent function?
Options
A
Horizontal shift
B
Vertical shift
C
Reflection over the x-axis
D
Reflection over the y-axis
Answer & Analysis
Answer
B
Analysis
In the function y= a∙b(x—h) + k, adding a constant k transforms the parent function by causing a vertical shift.
The variable k represents a vertical shift of the graph. Positive values of k shift the graph upward, while negative values of k shift the graph downward.
To understand this, consider the parent function
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