Question

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answer 1

Answer:

C. F(x) = 2(x-2)²+2

Step-by-step explanation:

This graph was changed by a vertical and horizontal shift because the graph moved over and up

• A vertical shift would be when a constant is added to the output, resulting in the graph moving up or down: y = f(x) + k
• A horizontal shift would be when a constant is added to the input, resulting in the graph moving left or right: y = f(x + h)

With this information we can determine how the graph was transformed

• Looking at the graph, the origin is now at (2,2) instead of (0,0)
• We can see that the graph moved to the right h units, indicating a horizontal shift 2 units to the right
• We can also see that the graph moved up k units, indicating a vertical shift 2 units upward

Our equation for f(x) should be in the form y = a(x + h)² + k

• Substituting in all our known values, we get the equation:
• F(x) = 2(x-2)²+2