Algebra 2 - 1st Quarter Review

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What does it mean if a parabola has a maximum?

Back

A parabola has a maximum if it opens downwards, indicating that the vertex is the highest point on the graph.

Front

What does it mean if a parabola has a minimum?

Back

A parabola has a minimum if it opens upwards, indicating that the vertex is the lowest point on the graph.

Front

How do you find the axis of symmetry of a parabola?

Back

The axis of symmetry of a parabola can be found using the formula x = -b/(2a) from the quadratic equation ax^2 + bx + c.

Front

What is the product of (x - 3)(x + 10)?

Back

The product is x^2 + 7x - 30.

Front

How do you factor the expression x^2 + 13x + 40?

Back

The expression factors to (x + 8)(x + 5).

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root or cube root.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b^2 - 4ac, which determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

If the discriminant is positive, the quadratic equation has two distinct real roots.