Answer:
To compress the function -14x + 8 horizontally by a factor of 1/6, we need to multiply the x-values by the reciprocal of the compression factor, which is 6/1. Let's go through the process step by step: 1. Start with the original function: -14x + 8. 2. To compress it horizontally by a factor of 1/6, we need to multiply the x-values by 6/1. 3. Multiply -14x by 6/1: (-14x)(6/1) = -84x. 4. Multiply 8 by 6/1: 8(6/1) = 48. 5. The compressed function is now -84x + 48. To further illustrate this, let's compare the original function with the compressed function using a few x-values: Original function (-14x + 8): - When x = 0, y = 8. - When x = 1, y = -6. - When x = 2, y = -20. Compressed function (-84x + 48): - When x = 0, y = 48. - When x = 1, y = -36. - When x = 2, y = -68. As you can see, the compressed function has the same shape as the original function, but it is compressed horizontally by a factor of 1/6.
Explanation: