![]() ![]() The reflection of a point $(x,y)$ over the x-axis will be represented as $(x,-y)$.Īllan was working as an architect engineer on a construction site and he just realized that the function $y = 3x^+4(-x) -1)$. In this activity, students explore reflections over the x-axis and y-axis, with an emphasis on how the coordinates of the pre-image and image are related. In that case, the reflection over the x-axis equation for the given function will be written as $y = -f(x)$, and here you can see that all the values of “$y$” will have an opposite sign as compared to the original function. Click to see additional instructions in using the interactive sketch. Choose resize points (center of dilation) of the origin, (0, 0), as well as other points in the coordinate plane. When we have to reflect a function over the x-axis, the points of the x coordinates will remain the same while we will change the signs of all the coordinates of the y-axis.įor example, suppose we have to reflect the given function $y = f(x)$ around the x-axis. Choose relative sizes (scale factors) less than 1 as well as greater than 1. How To Reflect a Function Over the X-axis Reflection of a function over x and y axisĪll these types of reflections can be used for reflecting linear functions and non-linear functions. ![]() Reflection of a function over y- axis or horizontal reflection.Getting Started with GeoGebra: Intro Workshop for Teachers. Reflection of a function over x – axis or vertical reflection How to Easily Create Your Own Custom GeoGebra Activity from Scratch.Hence, we classify reflections of the function as: Consider the function $y = f(x)$, it can be reflected over the x-axis as $y = -f(x)$ or over the y-axis as $y = f(-x)$ or over both the axis as $y = -f(-x)$. There are three types of reflections of a function. Read more How Hard is Calculus? A Comprehensive Guide ![]()
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