Question

How does the graph of g(x)=0.25⌊x⌋ differ from the graph of f(x)=⌊x⌋?

Multiplying by 0.25 compresses the graph of ​ ​ g(x)=0.25⌊x⌋ ​ vertically by a factor of 0.25.

Multiplying by 0.25 shifts the graph of ​ g(x)=0.25⌊x⌋ ​down 0.25 unit.

Multiplying by 0.25 shifts the graph of ​ g(x)=0.25⌊x⌋ ​ ​up 0.25 unit.

Multiplying by 0.25 shifts the graph of ​ g(x)=0.25⌊x⌋ ​ right 0.25 unit.

Answer 1

Its the first choice

Explanation:

This compresses the graph vertically by a factor of 0.25.

So for example if g(x) = 5 the point will move down to 5 * 0.25 = 1.25

Answer 2

y=|x| is the base graph

y=|x+b| this moves it opposite to b = -b units horizontally (left or right)

y=|x| +c this moves it c units vertically (up or down)

y=d|x| stretches of compresses it by d units

so 0.23|x| compresses it vertically by 0.25