horizontal stretch
[horizontal stretch|horizontal stretch] is a horizontal stretch or compression where the coefficient needed is the reciprocal of the stretch or compression factor.
Definition
horizontal stretch is a horizontal stretch or compression where the coefficient needed is the reciprocal of the stretch or compression factor. The graph of g represents a horizontal stretch by a factor of 3 of the graph of f.
Mechanism
horizontal stretch represents a horizontal stretch of the graph of y = x² by a factor of 2. This occurs when a function y = f(x) is transformed to y = f(bx), resulting in a horizontal stretch or compression by the factor of 1/|b|.
Comparison
horizontal stretch A horizontal stretch occurs when the constant is between 0 and 1, while a horizontal compression happens when the constant is greater than 1, both affecting the function's graph.