Question

Select the correct answer.Each statement describes a transformation of the graph of /(4) = ?2. Which statement correctly describes the graph of y= *x-7) + 37

Answer 1

Answer: D. the graph of f is translated 3 units up and 7 units to the right.

Given:

$y=f(x-7)+3$

For a function notation f(x-c), this means that we need to move horizontally, c units to the right. With this, we know that the graph is translated 7 units to the right.

Then, for the notation f(x) + d, this would mean a vertical translation of d units upward. With this, we know that the graph is translated 3 units up.

With all of these, we know that the graph of f is translated 3 units up and 7 units to the right.