Determine the equation of g(x) that results from translating f(x)=(x+2)^2 to the right 7 units

Question

Determine the equation of g(x) that results from translating f(x)=(x+2)^2 to the right 7 units

Answer 1

if f(x) = x, then a horizontal translation 7 units to the right is given by function g(x) = x - 7

 

You can visualize this by thinking about the location of the point (0, 0).

When x = 0, f(x) = 0

When x = 7, g(x) = 0

 

So x has to be 7 units more to get the same value for the function

 

For this example the answer is g(x) = (x + 2)^2 - 7