Question

The functions f(x) and g(x) are described below:

f(x) = 2x + 9
g(x) = 2x - 15

The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.

Answer 1

@Nnesha

Answer 2

would it be 15 @Nnesha

Answer 3

In y = mx + b, 'b' is the y-intercept.

What is the y-intercept of f(x) = 2x + 9 ?
What is the y-intercept of g(x) = 2x - 15 ?

Answer 4

9 and -15

Answer 5

It looks like its asking the difference between the y-intercepts

Answer 6

correct. So f(x) has a y-intercept of 9.
How much down does f(x) have to be shifted to have a y-intercept of -15?

Answer 7

has to be shifted down 15

Answer 8

f(x) has a y-intercept of 9.
If you shift it down by 9 units, it will have a y-intercept of 0.
After that you have to further shift it down by 15 units to have a y-intercept of -15.
so 9 + 15 = 24 units.

Answer 9

Or simply, 9 - (-15) = 9 + 15 = 24 units.

Answer 10

oooh sorry my bad

Answer 11

thanks!

Answer 12

yw.