Suppose g(x) = f(x – 2) + 3. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is shifted 2 units right and 3 units up.
B. The graph of g(x) is shifted 2 units left and 3 units down.
C. The graph of g(x) is shifted 2 units right and 3 units down.
D. The graph of g(x) is shifted 2 units left and 3 units up.

we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.

Option A is correct

Step-by-step explanation:

To shift a function right

So, g(x) = f(x – 2) means f(x) is shifted two units to the right.

and to move a function up

So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units up.

Therefore, overall, after two transformations, we conclude

that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.

So, option A is correct.

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.