Question

How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉?

A) Multiplying by 2 compresses the graph of ​g(x)=2⌈x⌉​vertically by a factor of 2.

B) Multiplying by 2 stretches the graph of ​g(x)=2⌈x⌉ vertically by a factor of 2.

C) Multiplying by 2 shifts the graph of​ ​g(x)=2⌈x⌉​ up 2 units.

D) Multiplying by 2 shifts the graph of ​g(x)=2⌈x⌉​ ​down 2 units.

Answer 1

B is the Answer.

Explanation:

A transformation of a function can be represented by

`a(bx - h) + k`

where a is the vertical stretch or compression, b is the horizontal stretch or compression. H is the shift horizontally and k is the shift vertically.

The new function has a 2 instead of 1 on the orginally function. The function will stretch since 2 is greater than 1.

B is the answer.