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This worksheet covers Properties of Quadratics, which is part of the Quadratics module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.
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Set 1 — Foundation
What is the vertex of the quadratic function ?
(2, -1)
(1, -1)
Which of the following is the correct factored form of the quadratic ?
(x - 2)(x - 3)
(x - 1)(x - 6)
(x + 2)(x + 3)
(x + 1)(x + 6)
What is the axis of symmetry for the quadratic function ?
-2
-4
For which value of does the quadratic equal zero?
1
3
What is the y-intercept of the quadratic function ?
-5
5
What is the value of the discriminant for the quadratic equation ?
0
4
-4
What is the maximum value of the quadratic function ?
1
4
What are the roots of the quadratic equation ?
2 and 4
1 and 3
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(2, 1)
(0, 3)
0
4
4
9
4
-4
8
8
12
0 and 8
2 and 6
Which of the following quadratics opens upwards?
2x^{2} - 3x + 1
-x^{2} + 5x - 6
-3x^{2} + 2x + 4
-2x^{2} - 3x + 7
If the quadratic has a minimum point, what can you say about the coefficient ?
It is positive.
It is negative.
It is zero.
It can be any value.