Question

Each statement describes a transformation of the graph of f(t) = 97. Which statement correctly describes the graph of y = f(x - 7) + 3?

a) It is the graph of f translated 3 units up and 7 units to the left.
b) It is the graph of f translated 7 units down and 3 units to the right.
c) It is the graph of f translated 7 units up and 3 units to the right.
d) It is the graph of f translated 3 units up and 7 units to the right.

Answer 1

The graph of y = f(x - 7) + 3 is the graph of f translated 7 units to the right and 3 units up.

Step-by-step explanation:

The graph of y = f(x - 7) + 3 is the graph of f translated 7 units to the right and 3 units up. To understand this, we need to consider the effects of each transformation in the given equation:

• The x - 7 inside the function shifts the graph of f 7 units to the right.
• The + 3 outside the function shifts the graph of f 3 units up.

Therefore, the correct statement is option c) It is the graph of f translated 7 units up and 3 units to the right.