Sven is going to use his calculator to graph y = log (x - 4) + 5. Before he does so, he predicts what will happen to the parent function. Which statement correctly identifies the transformations?

A) The parent function will be moved to the left 4 units and up 5 units.

B) The parent function will be moved to the right 4 units and up 5 units.

C) The parent function will be moved to the right 4 units and down 5 units.

D) The parent function will be moved to the left 4 units and down 5 units.

Question

Frederick Graves

Mathematics

3 June, 07:50

Sven is going to use his calculator to graph y = log (x - 4) + 5. Before he does so, he predicts what will happen to the parent function. Which statement correctly identifies the transformations?

A) The parent function will be moved to the left 4 units and up 5 units.

B) The parent function will be moved to the right 4 units and up 5 units.

C) The parent function will be moved to the right 4 units and down 5 units.

D) The parent function will be moved to the left 4 units and down 5 units.

+4

Answers (1)

Know the Answer?

Payne · Answer 1

C. The parent function will be moved to the right 4 units and down 5 units.

Step-by-step explanation:

A number added/subtracted inside the parentheses causes a horizontal shift in the opposite direction of the sign and a number added/subtracted outside the parentheses causes a vertical shift in the direction of the sign. Since a 4 is subtracted inside and a 5 is added outside The parent function will be moved to the right 4 units and up 5 units.