Properties of Quadratics

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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Properties of Quadratics

Quadratics • SAT Math

Set 2 — Foundation

What is the vertex of the quadratic function $f(x) = x^{2} - 4x + 3$ ?

(2, -1)

(1, 2)

(0, 3)

(4, 0)

Which of the following equations represents a quadratic function?

$y = 2x^{2} + 3x + 1$

$y = 3x + 2$

$y = \sqrt{x}$

$y = 4/x$

What is the axis of symmetry for the quadratic $f(x) = -2x^{2} + 4x - 1$ ?

-2

For the quadratic $f(x) = x^{2} + 6x + 8$ , what are the roots?

-2, -4

2, 4

0, -8

1, -8

In the quadratic function $g(x) = 3(x - 1)^{2} + 2$ , what is the minimum value of $g(x)$ ?

What is the value of the discriminant for the quadratic $h(x) = 2x^{2} + 4x + 2$ ?

-4

Which of the following describes the graph of $f(x) = -x^{2}$ ?

Opens downwards

Opens upwards

Is a straight line

Is a horizontal line

What is the value of $f(-1)$ for the quadratic $f(x) = x^{2} + 2x + 1$ ?

What are the x-intercepts of the quadratic $f(x) = x^{2} - 5x + 6$ ?

2 and 3

1 and 6

-2 and -3

0 and 6

10.

What is the value of the leading coefficient in the quadratic $f(x) = 4x^{2} - 8x + 5$ ?

-8

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