Question

Describe the transformation of f(x) to g(x)

PLEASE HELP!!


A. f(x) is shifted down units to g(x).
B. f(x) is shifted up 2 units to g(x).
C. f(x) is shifted up units to g(x).
D. f(x) is shifted up 1 unit to g(x).

Answer 1

D. f(x) is shifted up 1 unit to g(x).

Explanation:

Just let's look at the y-intercept of each function.

f(0) = 0

g(0) = 1

Also remember that a vertical shift of N units is written as:

g(x) = f(x) + N

where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.

then we can write, for the particular value x = 0

g(0) = f(0) + N

replacing the values

1 = 0 + N

1 = N

Then N is positive, so we have a shift up of one unit.

The correct option is:

D. f(x) is shifted up 1 unit to g(x).