Question

Next one.. thank you all for helping !

Answer 1

D.) is your answer because the +3 makes it move 3 the opposite of the sign and the negative outside 2 is just down 2

Answer 2

Hello!

Left or right movement indicates a change in the x-value. As you can see, the graph of g(x) is 3 units to the left of f(x). To convey this in the function, you would add 3 to x; movement to the left is shown with addition and movement to the right is shown with subtraction.

Upward and downward movement indicate change in y-values. From the diagram it is evident that the graph moved down 2 units. To convey this, subtract 2 from y. Intuitively, subtraction means downward movement and addition means upward movement for y-values.

f(x) = x²
g(x) = (x + 3)² - 2

That's the answer! I hope this helps you.