How would you shift the parent function y= x to graph the function y= (x-4)2 + 5?

a. the parent function would be shifted 4 units to the left and 5 units up.

b. the parent function would be shifted 4 units to the right and 5 units up.

c. the parent function would be shifted 5 units to the right and 4 units down.

d. the parent function would be shifted 5 units to the left and 4 units up.

B. The parent function would be shifted 4 units to the right and 5 units up.

Step-by-step explanation:

Given:

Parent function:

Transformed function:

To find the shifts made to the parent function.

Solution:

Translation Rules:

If the function shifts units to the left.

If the function shifts units to the right.

If the function shifts units to the up.

If the function shifts units to the down.

From the functions given the translation occurring can be given as:

From the rules we can see that the parent function has moved 4 units to the right and 5 units up.

(-5,-28)

i graphed to on desmos.