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

Question

3 years ago

10

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.

Mathematics

1 answer:

vodka [1.7K] · Answer 1 · 2022-07-27T22:44:48+03:00

Answer:

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.