HW: Review Quadratic and linear functions

Front

What is a linear function?

Back

A linear function is a function that graphs a straight line. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be written in the form y = ax² + bx + c, where a, b, and c are constants. Its graph is a parabola.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What does it mean to shift a function down?

Back

Shifting a function down means moving the entire graph lower on the y-axis by a certain number of units.

Front

What does it mean to shift a function up?

Back

Shifting a function up means moving the entire graph higher on the y-axis by a certain number of units.

Front

What is the slope of a line?

Back

The slope of a line is a measure of how steep the line is. It is calculated as the rise over the run between two points on the line.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x is 0.

Front

What happens to a quadratic function when 'a' is positive?

Back

When 'a' is positive, the parabola opens upwards.

Front

What happens to a quadratic function when 'a' is negative?

Back

When 'a' is negative, the parabola opens downwards.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.