Question

18Pretest: Linear RelationshipsSelect the correct answer.Consider the graph of fx) given below.yf(x)2+612+-4--6-The function g(x) is a transformation of fx). If g(x) has a v-intercept at 3 which of the followingaNot64-2Not2xSubmit Te

Answer 1

Given the graphed function:

f(x)

The function g(x) is a transformation of the graphed function f(x). If g(x) has a y-intercept at 3, let's find the function which could represent g(x).

Using the graph, the function f(x) has a t-intercept at:

y = -1

Since g(x) is the transformation of f(x) and has a y-intercept of 3, it means there was a vertical translation from f(x) to g(x).

Now, let's find the units:

3 - (-1) = 3 + 1 = 4

This means there was a vertical translation 4 units upwards of the function f(x) to get the function g(x).

Now, apply the transformation rule for functions.

After a vertical translation 4 units upwards of f(x), the function g(x) will be:

g(x) = f(x) + 4

Therefore, the function which could represent g(x) is:

g(x) = f(x) + 4

ANSWER:

B. g(x) = f(x) + 4