AFDA final review

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean. It is calculated using the formula: z = (x - mean) / standard deviation.

Front

How do you calculate a z-score?

Back

To calculate a z-score, use the formula: z = (x - mean) / standard deviation. For example, if mean = 25, standard deviation = 7, and x = 9.6, then z = (9.6 - 25) / 7 = -2.2.

Front

What is the function notation for a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for x in the equation f(x) = 3(3x - 7)?

Back

To solve for x when f(x) = 24, set up the equation: 3(3x - 7) = 24. Simplifying gives 3x - 7 = 8, leading to x = 5.

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 images. It can be found using the formula x = -b/(2a) for a quadratic in the form ax^2 + bx + c.

Front

What is the equation for the axis of symmetry for the function y = ax^2 + bx + c?

Back

The equation for the axis of symmetry is x = -b/(2a). This line passes through the vertex of the parabola.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each input (x-value) corresponds to exactly one output (y-value). If an input corresponds to multiple outputs, it is not a function.

Front

What is a transformed function?

Back

A transformed function is a function that has been altered by shifting, reflecting, stretching, or compressing its graph. For example, y = (x - 3)^2 is a transformation of y = x^2.

Front

What is the standard form of a quadratic function?

Back

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

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.