y=af(x) stretches vertically a is greater than 1.
y=1/af(x) compresses vertically 1 is greater than a.
For example, f(x)= x3 and 2f(x),
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The red one is being times by 2 and x stays the same.
You could graph this by:
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y=f(bx) compresses horizontally b is greater than 1
y=f(1/bx) stretches horizontally 1 is greater than b
( "read b values as opposite")
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For example, f(x)=x2 and f(1/2x),
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The red one is being times by two since the opposite of 1/2 is two. And this time y stays the same.
You could graph this by:
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