Question

The parent function f(x) = x is translated up 3 units and made steeper by a factor of 2. What is the equation of the new line?

plesse help!​

Answer 1

y = 2x + 3

Explanation:

Separate each instruction and apply each one individually to the function.

First, "translated up 3 units" -- this means that we add 3 to x.

y = x + 3

Next, "made steeper by a factor of 2" -- this means that we multiply x by 2.

y = 2x + 3

So, y = 2x + 3 is the equation of the new line.

Note: I chose to replace f(x) with y. However, it can also be replaced by any other lettered function, such as g(x), h(x), etc.