Question

Write an equation for the following transformation of y=x a vertical stretch by a factor of 6

A. y=6x
B. y= x/6
C. y=x+6
D. y=x-6

Answer 1

Answer: option A. y = 6x

If you draw both lines, you will see that the new one, y = 6x, looks like the original line y = x, was streched up-down.

That is because for the same value of x, for the new line, y = 6x, the value of y-coordinated is higher if x is positive or lower if x is negative than for the original line y =x.

Answer 2

For this case we have the following linear equation:

`y = x`
We apply the following function transformation:
Vertical expansions:
To graph y = a * f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
For this case we have:

`y = 6 * f (x)`
Substituting values:

`y = 6x`
Answer:
an equation for the transformation is:
A. y = 6x