What is the equation for a line that is steeper than the parent function f(x) =x and shifted up four?

1 Answer
Nov 3, 2017

Possible Answer: g(x)=2x+4

Explanation:

Note that the given equation, f(x)=x has slope of m=1 and y-intercept at (0,0).

Since the greater the slope m, the steeper the line, we can let m be any value greater than 1, say 2, so we now have that g(x)=2x+b (continue reading for further information on b, the y-intercept)

To move the line up 4 units, we can add 4 to our function to get g(x)=2x+4, which is both steeper than the parent function and is shifted 4 units up (from a y-intercept of (0,0) to (0,4).