Question

The graph of y = x is shifted down by 6 units and to the left by 9 units. What is the equation of the new graph?

A) y = |x + 9| - 6
B) y = |x - 9| + 6
C) y = |x + 9| + 6
D) y = |x - 9| - 6

Answer 1

A) y = |x + 9| - 6

The equation of the new graph, obtained by shifting the graph of y = x down by 6 units and to the left by 9 units, is y = |x + 9| - 6 (option A).

Step-by-step explanation:

The equation of the new graph, which is obtained by shifting the graph of y = x down by 6 units and to the left by 9 units, is y = |x + 9| - 6 (option A).

To shift the graph of y = x down by 6 units, we subtract 6 from the variable y. To shift it to the left by 9 units, we subtract 9 from the variable x.

So, the new equation is y = |x - 9| - 6, which is option A.