In math, a reflection is a transformation that reflects a figure across a line of symmetry. In this article, we will be discussing the graph of a reflection of F(X) = 2(0.4)X across the Y-axis. We will explore how to understand the reflection of F(X) and how to visualize the graph representation.
Understanding the Reflection of F(X)
Reflections occur when a figure is flipped across a line of symmetry. In this case, the line of symmetry is the Y-axis. To determine the reflection of F(X) = 2(0.4)X, we need to reflect the equation across the Y-axis. To do this, we will replace the X with a -X. This changes the equation to F(X) = -2(0.4)(-X). We can simplify this equation to F(X) = 0.8X, which is the reflection of F(X) = 2(0.4)X across the Y-axis.
Visualizing the Graph Representation
The graph of a reflection of F(X) = 2(0.4)X across the Y-axis is a straight line that passes through the origin. The equation for this line is F(X) = 0.8X. The graph is symmetrical across the Y-axis, which means that the line is reflected across the Y-axis. The slope of this line is 0.8 and the y-intercept is 0. This means that the line passes through the origin and has a positive slope of 0.8.
In conclusion, a reflection of F(X) = 2(0.4)X across the Y-axis is a straight line with a positive slope of 0.8 that passes through the origin. To understand the reflection of F(X), we need to replace the X with a -X. Visualizing the graph representation of the reflection helps to understand how the equation is reflected across the Y-axis.
