Quadratic Graph Zeros - Sample Math Practice Problems

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Complexity=1, Mode=simple

Find the zeros (roots) of the following functions. Whenever there are multiple answers, separate them with commas. Example: 1,3

1.   y = x 2 - 8x + 15 x =

2.   y = x 2 - 1 x =

Complexity=3, Mode=prefix

Find the zeros (roots) of the following functions. Whenever there are multiple answers, separate them with commas. Example: 1,3

1.   y = x 2 + x - 6 x =

2.   y = x 2 - 2x + 1 x =

Complexity=4, Mode=prefix

Find the zeros (roots) of the following functions. Whenever there are multiple answers, separate them with commas. Example: 1,3

1.   y = x 2 + 7x - 44 x =

2.   y = x 2 + 23x + 42 x =

Answers

Complexity=1, Mode=simple

Find the zeros (roots) of the following functions. Whenever there are multiple answers, separate them with commas. Example: 1,3

#	Problem	Correct Answer	Your Answer
1	y = x 2 - 8x + 15	x =
Solution Zeros or roots of a function are just the x-values that make y equal to 0. "Eyeball" the graph to get the answer(s). You can check the solution by rewriting the equation as y = (x - ?)(x - ?) and see if these values fit. In this case, y = (x - 3) (x - 5).

#	Problem	Correct Answer	Your Answer
2	y = x 2 - 1	x =
Solution Zeros or roots of a function are just the x-values that make y equal to 0. "Eyeball" the graph to get the answer(s). You can check the solution by rewriting the equation as y = (x - ?)(x - ?) and see if these values fit. In this case, y = (x - -1) (x - 1). From the graph, you might have noticed that the parabola is symmetric across the central y-axis. This corresponds to the fact that, in the equation, +/- the same x give the same y. The answers reflect this symmetry.

Complexity=3, Mode=prefix

Find the zeros (roots) of the following functions. Whenever there are multiple answers, separate them with commas. Example: 1,3

#	Problem	Correct Answer	Your Answer
1	y = x 2 + x - 6	x =
Solution Zeros or roots of a function are just the x-values that make y equal to 0. "Eyeball" the graph to get the answer(s). You can check the solution by rewriting the equation as y = (x - ?)(x - ?) and see if these values fit. In this case, y = (x - -3) (x - 2).

#	Problem	Correct Answer	Your Answer
2	y = x 2 - 2x + 1	x =
Solution Zeros or roots of a function are just the x-values that make y equal to 0. "Eyeball" the graph to get the answer(s). You can check the solution by rewriting the equation as y = (x - ?)(x - ?) and see if these values fit. In this case, y = (x - 1)2.

Complexity=4, Mode=prefix

Find the zeros (roots) of the following functions. Whenever there are multiple answers, separate them with commas. Example: 1,3

#	Problem	Correct Answer	Your Answer
1	y = x 2 + 7x - 44	x =
Solution Zeros or roots of a function are just the x-values that make y equal to 0. "Eyeball" the graph to get the answer(s). You can check the solution by rewriting the equation as y = (x - ?)(x - ?) and see if these values fit. In this case, y = (x - -11) (x - 4).

#	Problem	Correct Answer	Your Answer
2	y = x 2 + 23x + 42	x =
Solution Zeros or roots of a function are just the x-values that make y equal to 0. "Eyeball" the graph to get the answer(s). You can check the solution by rewriting the equation as y = (x - ?)(x - ?) and see if these values fit. In this case, y = (x - -2) (x - -21).