[Video] Q10: The quadratic function f is defined by f(x) =2(x+2)^2 -1. in the xy-plane, which of the following could be the graph of y =f(x) shifted 3 units to the right?

Explanation for Question 10 From the Math (Calc) Section on the 2018 May Sat

Question 10 says the quadratic function is defined by F of X equals two 2 X plus two squared minus one. 3 And the X, Y plane, which of the following could be the graph of 4 Y equals F of X shifted three units to the right. 5 So the first thing we know is that this parabola should be facing upwards 6 and that's because its coefficient is positive. 7 So from that, we can already eliminate answer choices D an answer choice. 8 A the next thing we know about this transformation is that it's going to 9 be one unit or its vertex is going to be one unit below the 10 X axis and both a and C have that. 11 So we can eliminate anything yet. And then finally, 12 we know that this graph is being moved or the vertex of this graph 13 is being moved two units to the left and then three units to the 14 right. So two to the left, three to the right, 15 which means that the vertex should be one unit right. 16 Of the Y axis. And that's how we know that it's B because C 17 is left of the y-axis. So we know that these, 18 the correct answer.

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