Algebraic Reasoning Fall Final Exam Review2

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0. It represents the x-intercepts of the graph.

Front

How do you find the zeros of a quadratic function?

Back

You can find the zeros of a quadratic function by factoring, using the quadratic formula, or by completing the square.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

How do you factor the expression 3x² + 5x - 12?

Back

The expression factors to (3x - 4)(x + 3).

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, used to express complex numbers.

Front

How do you simplify the expression 3i - (4 + 7i)?

Back

The expression simplifies to -4 - 4i.