Which of the following are the equations for the parent function and the transformed parent function represented by the graph?

Parent function:

Transformed function:

Step-by-step explanation:

The given function is a rational function.

The parent rational function is .

This is a hyperbola that is found in the first and third quadrant that is asymptotic to the axes.

The transformed function is a a hyperbola that is asymptotic to the axes and it is located in the second and fourth quadrant.

The point (1,1) on the parent function corresponds to (-1,1) on the transformed function.

The point (-1,-1) on the parent function corresponds to (1,-1) on the transformed function.

We can observe that the x-coordinates were negated in each case.

This the rule for a reflection in the y-axis.

Therefore the transformed function has equation

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11