Question

If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2

what is the equation of the new function?
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Answer 1

Answer:
`y=\frac12 x` .

Explanation:

We know that
`a f (x)` compresses f(x) vertically such that

• if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.
• if a > 1, the graph is stretched vertically by a factor of a units.

If we vertically compress the linear parent function, F(x) = x, by multiplying by
`\frac12`.

Then, the equation of the new function is
`y=\frac12 F(x)=\frac12 x` .

i.e.
`y=\frac12 x` .