Question

Which function represents transforming ƒ(x) = 3x with a reflection over the x-axis and a vertical shift of 4 units?

A. h(x) = 3x + 4
B. h(x) = -3x + 4
C. h(x) = 3x-4
D. h(x) = -3x+4

Answer 1

look at the other persons answer; they are correct

Explanation:

Answer 2

D.
`h(x)=-3x+4`

Explanation:

we are given

`f(x)=3x`

Firstly, it is reflected over x-axis

we know that for reflection about x-axis , we can replace y as -y

we get

`g(x)=-f(x)`

`g(x)=-3x`

now, it is vertical shift up by 4 units

so, we can add 4 to y-value

we get

`h(x)=g(x)+4`

`h(x)=-3x+4`