Math 2 Final Exam

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry for a quadratic function in the form f(x) = a(x - h)² + k is x = h.

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x for which f(x) = 0.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How do you determine if a quadratic has real solutions?

Back

A quadratic has real solutions if the discriminant (b² - 4ac) is greater than or equal to zero.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the highest or lowest point of the graph, depending on the direction it opens.

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

How can you convert a quadratic from standard form to vertex form?

Back

You can convert a quadratic from standard form to vertex form by completing the square.

Front

What is the formula for finding the vertex of a quadratic function?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

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

Back

The sum of the roots is -b/a and the product of the roots is c/a, according to Vieta's formulas.