Question

11. If the graph of the function y = x² is vertically compressed by a factor of 14, then translated seven units right and one unit down, write an equation to represent the function.​

Answer 1

To vertically compress the graph of the function y = x² by a factor of 14 and translate it seven units right and one unit down, the equation that represents the function is y = (1/14)(x - 7)² - 1.

Step-by-step explanation:

To vertically compress the graph of the function y = x² by a factor of 14, we multiply the equation by 1/14, resulting in

y = (1/14)x².

To translate the graph seven units to the right and one unit down, we subtract 7 from x and subtract 1 from y.

Therefore, the final equation is y = (1/14)(x - 7)² - 1.

So, the equation that represents the function after the vertical compression and translation is y = (1/14)(x - 7)² - 1.