whats the answer

Question

f(x)=2x + 9 is translated 7 units right

Answer 1

To translate a function 7 units right, we do f(x - 7), which for your function, we have:

2(x - 7) + 9 = 2x - 14 + 9 = 2x - 5

By the way, 7 units left would be f(x + 7).

Hope this helps!

Answer 2

2x+9 translated 7 right

= 2(x-7) + 9

= 2x -14 + 9

= 2x -5

f(x) = 2x-5

graphically 2x+9 is a straight upward sloping line with y intercept = 9 = (0,9)

translate right by 7 shifts the line right keeping the same slope but moving the y intercept down 14 to (0,5)

translating right by 7 for this function is the same as shifting it down by 14

It may help to graph the lines, just a rough sketch