PSAT Math Multiple-Choice Practice Question 592

Question: 592

What will happen to the graph of y = x2 in the xy-plane if it is changed to

y = (x + 8)2 + 4?

Correct Answer: A

Explanation:

(A) When you add a number to the x-value itself, the function shifts to the left by that number of places. When you add a number to the function as a whole, the function shifts upward by that number of places. Since 8 is added to the x-value itself and 4 is added to the function as a whole, the function shifts to the left 8 units and shifts up 4 units.

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