If the graph of the function y =2^x is reflected over the x-axis the equator the reflection is

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

When you reflect the graph of the function \( y = 2^x \) over the x-axis, you change the sign of the y-coordinate for every point on the graph. The reflection can be represented by the transformation of the function to \( y = -2^x \).

So, the reflection of the graph of the function \( y = 2^x \) over the x-axis results in the graph of the function \( y = -2^x \). This new graph will have the same shape as the original exponential function but will be inverted, meaning that it will be in the lower half of the Cartesian plane rather than the upper half.

To summarize, the reflection of \( y = 2^x \) over the x-axis is \( y = -2^x \).