29.1k views
1 vote
The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?

g(x) = f(x) - 2
g(x) = f(x + 2)
g(x) = f(x) + 4
O g(x) = f(x-4)

The function g is a transformation of f. If g has a y-intercept at 4, which of the-example-1

2 Answers

6 votes

Answer:

the answer would be g(x)=f(x)-2

Explanation:

i got it right

User Luis Quijada
by
8.0k points
1 vote

Answer:

g(x) = f(x) - 2

g(x) = f(x + 2)

Explanation:

y-intercept of a function:

The y-intercept of a function is the value of y when x = 0.

Function f:

Graph given in this question

When
x = 0, y = 6, so the y-intercept is 6.

Additionally, when
x = -2, y = 4

If g has a y-intercept at 4, which of the following functions could represent g?

Either we subtract 2 from f, that is:


g(x) = f(x) - 2

Or we can also add 2 on the domain, that is, moving 2 units to the right, so:


g(x) = f(x+2)

So the first two options are correct.

User Dawy
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories