{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are given the graphs of $f(x)$ and $g(x)$ on a coordinate plane, and want to describe the transformation from the graph of $f(x)$ to the graph of $g(x).$ Let's find some corresponding points in the graphs and measure the distance between each point and the $y$-axis.

Since corresponding points are at the same distance from the $y$-axis the graph of $g(x)$ is a reflection in the $y$-axis of the graph of $f(x).$ We can also see this using the function rules. $f(x)=-2x−2g(x)=f(-x)$ We see that the function $g(x)$ can be written on the form $y=f(-x).$ This changes the sign of the input values which is the same as reflecting in the $y$-axis.