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 3 — Foundation

What is the axis of symmetry for the quadratic function $f(x) = 2x^{2} + 4x - 6$ ?

-1

-2

For the quadratic function $f(x) = x^{2} + 2x + 1$ , what are the roots of the equation?

x = -1

x = 1

x = 0

x = -2

What is the y-intercept of the quadratic function $f(x) = -3x^{2} + 6x + 9$ ?

Which of the following represents the standard form of a quadratic function?

$ax^{2} + bx + c$

$a(x - h)^{2} + k$

$a(x + p)(x + q)$

$ax^{2} + c$

If the vertex of a parabola opens upwards, what can you say about its value at the vertex?

It is the minimum value.

It is the maximum value.

It is zero.

It is always positive.

The discriminant of the quadratic equation $ax^{2} + bx + c = 0$ is given by which expression?

$b^{2} - 4ac$

$a^{2} + b^{2} + c^{2}$

$2ab$

$a + b + c$

For the quadratic function $f(x) = 4x^{2} - 12x + 9$ , what is the value of $f(3)$ ?

What is the leading coefficient in the quadratic $f(x) = 5x^{2} - 3x + 2$ ?

-3

Which of the following describes the range of the quadratic function $f(x) = -x^{2} + 4$ ?

All values less than or equal to 4

All values greater than or equal to 4

All real numbers

All values greater than or equal to 0

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