The following ordered pairs come from a function transformation the original ordered pair is 2, 9 and the transformation ordered pair is 6, 9 which of the following correctly identifies the value of k in describes whether it is a compression or a stretch

1/3 stretch
1/3 compression
Three stre
Three compression

1 answer

To determine the value of k and whether the transformation is a compression or a stretch, we can analyze the given ordered pairs.

The original ordered pair is (2,9) and the transformed ordered pair is (6,9). From this, we can see that the y-coordinates remain the same (both are 9), while the x-coordinates change from 2 to 6.

This transformation affects the x-coordinate. We can conceptualize this transformation as changing x by a factor of k:

k=New xOriginal x=62=3

Since the value of k is greater than 1, it indicates a stretch in the x-direction. In general, a stretch occurs when k>1 and a compression occurs when k<1.

Based on the options provided, the correct identification would be:

  • k=3
  • This is a stretch.

So the answer is Three stretch.