Linear Parent Function Graph
The linear parent function graph, also known as the identity function, is the simplest form of a linear equation
The linear parent function graph, also known as the identity function, is the simplest form of a linear equation. It is represented by the equation y = x. The graph of this function is a straight line that passes through the origin (0,0) at a 45-degree angle.
To graph the linear parent function, you simply plot points on a coordinate plane based on the given equation. For instance, if you choose x = 1, then the corresponding y-value would also be 1. Similarly, if you choose x = -1, y would be -1. By connecting these points and extending the line in both directions, you can draw the full graph.
The linear parent function is called the “parent” because it serves as the basis for graphing all other linear functions. Different linear functions can be obtained by applying transformations to the parent graph such as translations (shifting the graph horizontally or vertically), dilations (stretching or compressing the graph), or reflections (flipping the graph across an axis).
Understanding the linear parent function graph is crucial for studying linear equations and their graphs. By grasping the basic characteristics of this graph, you can easily recognize and analyze various linear equations and their relationships.
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