Alt Alg2 Fall Semester Final

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

By completing the square.

Front

What are the real and imaginary parts of the complex number 3.5 - 2.7i?

Back

Re=3.5, Im=-2.7

Front

Factor the quadratic expression: 4x² - 16x - 9

Back

(2x - 9)(2x + 1)

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does it mean to complete the square?

Back

Completing the square is a method used to convert a quadratic equation into vertex form by adding and subtracting a constant.

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.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

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, two real roots; if zero, one real root; if negative, two complex roots.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the graph of a quadratic function called?

Back

The graph of a quadratic function is called a parabola.