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19 votes
19 votes
If you apply these changes to the linear parent function, f(x) = x, what is the

equation of the new function?
• Vertically compress by a factor of 7.
• Shift up 9 units.
O A. DY) = 7x+9
O B. g(x) = = x+9
O C. () = 7(x-9)
O D. g(x) = + (x+9)

User Nadeem Bhat
by
3.2k points

1 Answer

15 votes
15 votes

Answer:

The equation of the new function is
g(x) = 7x + 9

Explanation:

Vertically compress by a factor of 7.

Vertically compressing a function by a units is the same as:


g(x) = f(ax)

In this question:


f(x) = x, a = 7. So


g(x) = f(7x) = 7x

Shift up 9 units.

Shifting a function up a units is the same thing as adding a to the function. In this case,
a = 9, and then:


g(x) = 7x + 9

The equation of the new function is
g(x) = 7x + 9

User Akhalsa
by
2.5k points