Question

Write an equation for each transformation of y=x. vertical stretch by a factor of 2

Answer 1

The equation of the transformed function is
`y=2x`

When working with transformed function in the form
`y=mx+b` we can use the general formula:

`y=a(bx-h)+k`

where:
a: It represents the vertical stretch or compression, and also reflects the vertical reflection if it's negative.

b: It represents the horizontal stretch or compression, and also reflects the horizontal reflection if it's negative.

h: It represents the horizontal shift (translation).

k: It represents the vertical shift (translation).

Since we have a vertical stretch by 2, the "a" value would be 2.

`y=2(x-0)+0`

`y=2x`

So our equation become y = 2x.