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

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) + kA 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 rightWe 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

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