Quadratics review

Front

What does it mean if a quadratic equation opens down?

Back

The coefficient of the x² term is negative, indicating that the parabola has a maximum point.

Front

What are the roots of the equation (x+3)(x-2)?

Back

x = -3 and x = 2.

Front

How do you solve the quadratic equation n² - 2n = 0?

Back

Factor to get n(n - 2) = 0, so n = 0 or n = 2.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, depending on whether it opens up or down.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What does the discriminant of a quadratic equation tell us?

Back

It determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the maximum value of a quadratic function?

Back

The highest point on the graph, occurring at the vertex if the parabola opens down.

Front

What is the minimum value of a quadratic function?

Back

The lowest point on the graph, occurring at the vertex if the parabola opens up.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax² + bx + c = 0.