A function graph can be vertically stretched or shrunk by multiplying the function rule by some factor a>0. Algebraically,
g(x)=a⋅f(x).
The vertical distance between the graph and the x-axis will then change by the factor a at every point on the graph. If a>1, this will lead to the graph being stretched vertically. Similarly, a<1 leads to the graph being shrunk vertically. Note that x-intercepts have the function value 0. Thus, they are not affected by this transformation.
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