Question

Question If the graph of the equation y=3x is reflected in the x-axis, the equation of the reflection is (1 point) Responses y=−(3x) y is equal to negative open paren 3 to the x th power close paren y=x3 y is equal to x cubed y=3−x y is equal to 3 raised to the negative x power y=logx3

Answer 1

To determine the equation of the reflection of the graph \( y = 3x \) in the x-axis, we need to reverse the sign of the \( y \) value. Reflecting a function in the x-axis means replacing \( y \) with \( -y \), leading to the new equation:

\[
-y = 3x \quad \Rightarrow \quad y = -3x
\]

Thus, the equation of the reflection of \( y = 3x \) in the x-axis is:

\[
y = -3x
\]

None of the provided responses exactly say \( y = -3x \), but \( y = - (3x) \) is equivalent to \( y = -3x\).

Hence, the correct response is:

**y = −(3x)**.