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, we need to replace \( x \) with \( -x \) in the equation.

Starting with the original function:

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

Reflecting across the y-axis, we substitute \( -x \) for \( x \):

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

This can be simplified:

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

The transformed function that reflects across the y-axis is:

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

So the equation of the transformed function is:

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