Answer the following question

Question

what kind of transformation converts the graph of f(x)=8x+8 into the graph of g(x)=x+8
vertical stretch
vertical shrink
horizontal shrink
horizontal stretch

Answer 1

To find the transformation that converts the graph of $f(x)=8x+8$ into the graph of $g(x)=x+8$, we can analyze the two functions:

1. The function $f(x)=8x+8$ represents a line with a slope of 8.
2. The function $g(x)=x+8$ represents a line with a slope of 1.

To see what transformation has occurred in terms of the slope, we can compare the slopes:

• The slope of $f(x)$: 8
• The slope of $g(x)$: 1

From the slope of $f(x)$ (8) to the slope of $g(x)$ (1), we notice that the slope has decreased by a factor of 8. This can be interpreted as a vertical shrink.

In summary, we have a vertical shrink that converts the graph of $f(x)$ into $g(x)$.