[Video] Q9: The function f is defined by f(x) = x^2, and the function g is defined by g(x) = x^2 + 3. which of the following translations of the graph of f in the xy-plane results in the graph of g?

Explanation for Question 9 From the Math (No Calc) Section on the 2019 March Sat

Question nine says the function F is defined by F of X is equal 2 to X squared. And the function G is defined by G of X is 3 equal to X squared plus three, which of the following translations of the graph 4 of F in the X, Y plane results in the graph of G. 5 So when we're trying to find translations of a parabolic equation, 6 we need to first know, is the number being added or subtracted outside 7 of the, a squared or inside of the square. 8 In this case, it's not X plus three squared. 9 It's X squared plus three. It's not being outside of the square. 10 Since we know that we know that the equation is moving either up or 11 down, if it was inside the square, 12 it would be moving left to right, or right to left. 13 Now that we know that it's outside the square and that it's moving up 14 or down, we need to know, are we adding the number or subtracting the 15 number in this case we're adding, 16 which means it's moving up and then to figure out how many units you 17 just look at the number, since the numbers three, 18 we know that this equation is moving three units up. 19 And so the answer is.

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