Math 2 Final Exam Review

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function, given by the coordinates (h, k) in the vertex form y = a(x-h)² + k.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression of the form ax² + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression as a product of two binomials.

Front

What is the formula for the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using the formula h = -b/(2a) and k = f(h), where f(x) is the quadratic function.

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a figure into two mirror-image halves. For a flower with 6 lines of symmetry, it can be folded along these lines and both halves will match.

Front

What is the tangent ratio in a right triangle?

Back

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you completely factor a polynomial?

Back

To completely factor a polynomial, first factor out the greatest common factor (GCF), then factor the remaining polynomial until it cannot be factored further.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What does it mean for a polynomial to be prime?

Back

A polynomial is considered prime if it cannot be factored into the product of two non-constant polynomials.

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.