Write an equation for the following transformation of y=x: a vertical stretch by a factor of 2.
The equation for the given transformation is y = 2x.
When there is a vertical stretch by a factor of 2, the y-values of the original function are multiplied by 2. The equation for the vertical stretch of y = x by a factor of 2 can be written as y = 2x.
To find the equation for the given transformation, we need to understand what a vertical stretch is. A vertical stretch involves multiplying the y-values of a function by a constant factor. In this case, the y-values of the function y = x need to be stretched by a factor of 2.
To accomplish a vertical stretch by a factor of 2, we can multiply the equation y = x by 2. This will stretch the y-values while keeping the x-values the same.
Therefore, the equation for the transformation of y = x with a vertical stretch by a factor of 2 is:
y = 2x