Question

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

Answer 1

Answer: $y=\dfrac12 x$ .

Step-by-step 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 $\dfrac12$.

Then, the equation of the new function is $y=\dfrac12 F(x)=\dfrac12 x$ .

i.e. $y=\dfrac12 x$ .