Question of the Day

Can you answer today's question?

Register Next Tests:
6/1

Aug
16
2012
231,280 responses
Question of the Day Statistics
Number Answered
Correct 91,325
Incorrect 139,955
39% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

math image

Which of the following could be the equation of the function graphed in the xy-plane above?

Answer Choices

Hint

The graphed function has a minimum value of 0 and is symmetric with respect to the y-axis. You can check which of the choices has these properties.

Question of the Day

Can you answer today's question?

Register Next Tests:
6/1

Aug
16
2012
231,280 responses
Question of the Day Statistics
Number Answered
Correct 91,325
Incorrect 139,955
39% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

math image

Which of the following could be the equation of the function graphed in the xy-plane above?

Answer Choices

Answer

The function with equation y = (negative x)^2 + 1 and the function with equation y = absolute value (x^2 + 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 = negative (x^2) + 1 contains the point (2 comma negative 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 = absolute value (x minus 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 = absolute value (x^2 minus 1). Its graph is the absolute value of a parabola opening upward with vertex at (0 comma negative 1).