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Fake SAT practice question?
Okay, this isn't homework, it's a practice SAT thing. According to Collegeboard.com, i didn't get the right answer. If you want to, please tell me what you get and explain. thanks
btw, i tried to leave on everything pertaining to collegeboard.com so they can't sue me...here's the website: http://www.collegeboard.com/
Read the following SAT test question, and select your answer.
here's the graph: http://apps.collegeboard.com/qotd/question.do
Which of the following could be the equation of the function graphed in the xy-plane above?
A. y = (–x)2 + 1
B. y = –x2 + 1
C. y = |x2 + 1|
D. y = |x2 – 1|
E. y = |(x – 1)2|
4 Answers
- 1 decade agoFavorite Answer
the correct answer is D.
if you try to plug in (-1) and (1) for x you will see that the y value is zero just like the graphs shows you so.
here's college boards explanation
Here's Why:
The function with equation y = (–x)2 + 1 and the function with equation y = |x2 + 1| each have a minimum value of 1 when x = 0, but the function graphed does not have a minimum value of 1, so these options cannot be correct. The graph of the function with equation y = –x2 + 1 contains the point (2, –3), but the function graphed does not contain any points with negative y-coordinates, so this option cannot be correct. The graph of the function with equation y = |(x – 1)2| is not symmetric with respect to the y-axis, so it cannot be the equation of the function graphed. Therefore, the only equation that could correspond to the function graphed is y = |x2 – 1|. Its graph is the absolute value of a parabola opening upward with vertex at (0, –1).
Difficulty: Hard
Question Type: Standard Multiple Choice
(Mathematics)
- 1 decade ago
Its D
it has to be an absolute value function because it reflects over the y axis
it has to be x^2-1 cos its a parabola with vertex -1