1.2 Attributes of Functions

Front

What is the vertex of a quadratic function?

Back

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

Front

How do you find the vertex of a quadratic function given in standard form?

Back

To find the vertex of a quadratic function in standard form y = ax² + bx + c, use the formula h = -b/(2a) and then substitute h back into the equation to find k.

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which serves as a reference for transformations.

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is f(x) = |x|.

Front

What type of function is represented by a U-shaped graph?

Back

A U-shaped graph represents a quadratic function.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.

Front

What does the term 'axis of symmetry' refer to 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 equation x = h, where (h, k) is the vertex.

Front

What is the significance of the 'a' value in the quadratic function y = ax² + bx + c?

Back

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

Front

What is the range of a quadratic function with a minimum vertex?

Back

The range is all real numbers greater than or equal to the y-coordinate of the vertex.