Question

Which phrase best describes the translation from the graph y = 2(x-15)² + 3 to the graph of y = 2(x - 11)² + 3?

O 4 units to the left
O 4 units to the right
O 8 units to the left
O 8 units to the right

Answer 1

4 units to the right.

Explanation:

The equation y = 2(x-15)² + 3 describes a parabola with its vertex at (15,3). The equation y = 2(x-11)² + 3 describes a parabola with its vertex at (11,3). The only difference between the two equations is the value of x in the parentheses. The x-value in the second equation is 4 units greater than the x-value in the first equation. This means that the graph of the second equation is 4 units to the right of the graph of the first equation.