Question

The equation y=(x+1)2 is a quadratic function. Create an equation that reflects the function across the y-axis.(1 point)
The equation of the transformed function is $$
.

Answer 1

To reflect the function \( y = (x + 1)^2 \) across the y-axis, you need to replace \( x \) with \( -x \) in the equation.

Starting with the original function:

\[
y = (x + 1)^2
\]

When reflecting across the y-axis, we replace \( x \) with \( -x \):

\[
y = (-x + 1)^2
\]

This can also be simplified as follows:

\[
y = (1 - x)^2
\]

Thus, the equation of the transformed function, which reflects the original function across the y-axis, is:

\[
y = (1 - x)^2
\]

So the final answer is:

The equation of the transformed function is \( y = (1 - x)^2 \).