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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

Respuesta :

Answer:

D. [tex]h(x)=-3x+4[/tex]

Step-by-step explanation:

we are given

[tex]f(x)=3x[/tex]

Firstly, it is reflected over x-axis

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

we get

[tex]g(x)=-f(x)[/tex]

[tex]g(x)=-3x[/tex]

now, it is vertical shift up by 4 units

so, we can add 4 to y-value

we get

[tex]h(x)=g(x)+4[/tex]

[tex]h(x)=-3x+4[/tex]

Answer

look at the other persons answer; they are correct

Step-by-step explanation:

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