Question

If you shift the linear parent function, f(x) = x, down 7 units, what is the equation of the new function?

A. g(x) = 7x

B. g(x) = x – 7

C. g(x) = x

D. g(x) = x + 7

Answer 1

B

Explanation:

An upward shift or a downward shift is reflected in the +k or -k (k being some real number). If there is a number "stuck" to the x, that reflects the steepness (slope) of the line. The slope of this line is 1, and the y-intercept (where it goes through the y-axis) is down 7 from the origin. B is your answer.

Answer 2

if you shift it down 7, the new equation would be

g(x)=x-7

hope this helps