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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

Relevance
  • 1 decade ago
    Favorite 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

  • 1 decade ago

    very hard question, but I would guess B

  • 1 decade ago

    its D

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