Question

kiley graphed f(x) =x and g(x) which transformed the parent function 8 units down. what is the function for g(x)? what is the slope of g(x)? what is the y-intercept of g(x)? ​

Answer 1

The y-intercept of g(x) would be at (0, -8).

If the function g(x) is a transformation of f(x)=x shifted 8 units down, it means g(x)=f(x)−8.

The subtraction of 8 represents the downward shift.

The slope of the function g(x) is the same as the slope of the parent function f(x)=x, which is 1.

Since shifting the function vertically doesn't alter its slope, the slope remains 1 for g(x).

For the y-intercept of g(x), since the function is shifted down 8 units, the y-intercept of g(x) would also be shifted down by 8 units compared to the y-intercept of

f(x)=x, which is at (0,0). Therefore, the y-intercept of g(x) would be at (0, -8).