Question

Which function represents shifting h(x)=5√3x+10
down 6 units?(1 point)
Responses

m(x)=5√3x+4
m times x is equal to 5 square root of 3 x plus 4

p(x)=5√3x+16
p times x is equal to 5 square root of 3 x plus 16

g(x)=5√3x-6
g of x is equal to 5 square root of 3 x minus 6 end root

k(x)=5√3x - 6

Answer 1

To shift the function \( h(x) = 5\sqrt{3}x + 10 \) down by 6 units, you would subtract 6 from the entire function. Thus, the new function becomes:

\[
m(x) = 5\sqrt{3}x + 10 - 6
\]
\[
m(x) = 5\sqrt{3}x + 4
\]

So, the correct function that represents shifting \( h(x) \) down by 6 units is:

**m(x) = 5√3x + 4**.