Question

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

Answer 1

Answer:

g(x) = f(x) - 2

g(x) = f(x + 2)

Step-by-step 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.