Question

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

Answer 1

Answer:

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

Step-by-step 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

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

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