Show that the vertical stretches and shrinks does not change the x -intercept and explain the reason.
The transformation obtained by multiplication of a constant to the function so x -intercept remains unchanged.
Given:
Take an equation
for example whose graph is as follows:
1
Concept Used:
The graph of
1) If
2) If
And, the graph of
1) If
2) If
The transformation of horizontal stretches or shrinks from
The graph of
The transformation of vertical stretches or shrinks from
The graph of
The graph of
Calculation:
Transform the graph of
Now, transform
So, in both the case of vertical stretch and shrink, the x -intercept of graph remains unchanged.
Since, a graph of
In the transformation of vertical stretch or shrink the equation is transformed by multiplication of a constant c to the function
Conclusion The transformation obtained by multiplication of a constant to the function so x -intercept remains unchanged.
Chapter 1 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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