Description of Transformation: Vertical stretch by a factor of 2 and vertical translation up by 1 unit. Graph:
Practice makes perfect
To describe and graph the given transformation, h(x)=2f(x)+1, let's look at all of the possible transformations. Then we can more clearly identify the transformations being applied to the parent functionf(x)=-2x.
Transformations of f(x)
Vertical Translations
Translationupkunits, k>0y=f(x)+k
Translationdownkunits, k>0y=f(x)−k
Vertical Stretch or Compression
Verticalstretch, a>0y=af(x)
Verticalcompression, 0<a<1y=af(x)
Now, using the table, let's highlight the transformations of f(x).
h(x)=2f(x)+1
We can describe the transformations as vertical stretch by a factor of 2 and a vertical translation up by 1 unit. Since we know the transformations applied to f(x), we can draw h(x).
Mathleaks uses cookies for an enhanced user experience. By using our website, you agree to the usage of cookies as described in our policy for cookies.
