Question

Consider the line y=x.
If the line is dilated by a factor of 2, what is the equation of the resulting line?
If the resulting line is translated 3 units up, what is the equation of the resulting line?

Please answer!~

Answer 1

a. What is the difference between y=x and y=2x ?
b. what happens to y=x when one adds 4, as in y=x+4

Answer 2

and



Step-by-step explanation:

When we dilate y = x by a factor of "a", we have the equation:

y = a*x

So, firstly, we need to dilate by a factor of 1/3, thus we would have:



Now, whenever we have a line y = x, per say, if we want to translate "b" units up, we would have:

y = x + b

if we want to translate "b" units down, we have"

y = x - b

Now, since we have  and we want to translate "1" unit down, we will thus have:

Answer 3

help i'm still so confused