Explanation for Question 11 From the Math (Calc) Section on the 2019 May Sat
So question 11 asks in the X, 2 Y plane, which of the following changes to the graph of the equation. 3 Y equals X squared, plus three will result in the graph of the equation. 4 Y equals X squared plus three minus six. 5 So this question is testing your knowledge of how parabolas transform, 6 uh, depending on how the equation has changed. 7 So just a quick reminder, 8 if the information under the squared sign changes. 9 So if X changes to X minus three or X plus three, 10 for example, sorry, it's my S3. 11 Then that's going to change how the problem moves from right to left or 12 left to, right? If it's X minus a number, 13 it's moving that many units to the right. 14 And if it's X plus a number it's moving that many units to the 15 left. But if the change to the equation is outside of the 16 X squared. 17 So like in this problem where they're subtracting six, 18 but they're not subtracting six from X, they're subtracting six from X squared, 19 then the equation is moving up or down. 20 If it's subtracting, then it's moving down. 21 And if it's adding, it's moving up. So in this case in X squared, 22 plus three minus six, the transformation is happening outside of the 23 X squared. So that means it's moving up or down. 24 And because there's a minus sign, 25 we know that it's moving down. So from this, 26 we can conclude that this graph is going to shift downward six 27 units. And so the answer is D.