Multiplying the number on the whole function makes the graph taller (or shorter) but leaves the x-intercepts the same. Multiplying the number inside the function (that is, on the argument of the …

Nov 4, 2024 · A horizontal stretch happens when the graph of a function is stretched away from the y-axis. This occurs when the input of the function is multiplied by a constant b, where …

Example: multiplying by −2 will flip it upside down AND stretch it in the y-direction. It really does flip it left and right! But you can't see it, because x2 is symmetrical about the y-axis. So here is …

May 7, 2020 · Vertical Dilation: When we multiply the function by a constant greater than 1, for example, y = 2 ∗ 2 x (which simplifies to y = 2 x + 1), this operation results in a vertical stretch …

When the changes to a function takes place outside the parentheses, such as 2 ∙ ( ), the change occurs with the outputs, and the result is a vertical transformation. So in this case, the function …

Jul 16, 2016 · If a function is multiplied by a coefficient, what will happen to the graph of the function? Examples: g(x) = 4f(x)...function g's y values will be uniformly multiplied by 4, …

The other more-difficult type of transformation is multiplication on the argument of the function. It often looks very similar to multiplication on the entire function. For instance, consider the …

Aug 20, 2012 · For a positive value $k$, the graph of $y = kf(x)$ is obtained from the graph of $y=f(x)$ by scaling in the vertical direction. In coordinates, if $(x_0, y_0)$ is on the graph of …

Mar 18, 2021 · If the curve happens to be the graph of a function, y = f(x), then we can use the same technique to transform this. To horizontally stretch the curve by 2, that is y = f(x/2). To …

To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 …