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?

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

Answer 1

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

Explanation:

i got it right

Answer 2

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.