BHS Carnegie M4T1 Review

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the vertex of a quadratic function in the form y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the function to find the y-coordinate.

Front

What does it mean to reflect a graph across the x-axis?

Back

Reflecting a graph across the x-axis means that for every point (x, y) on the graph, there is a corresponding point (x, -y) on the reflected graph.

Front

What does it mean to compress a graph vertically?

Back

Compressing a graph vertically means that the graph is squeezed towards the x-axis, making it appear shorter. This occurs when the coefficient of the function is between 0 and 1.

Front

What does it mean to stretch a graph vertically?

Back

Stretching a graph vertically means that the graph is pulled away from the x-axis, making it appear taller. This occurs when the coefficient of the function is greater than 1.

Front

What is the effect of shifting a graph to the right?

Back

Shifting a graph to the right means that every point on the graph moves to the right by a certain number of units, which is represented by adding a positive value to the x-variable.

Front

What is the effect of shifting a graph upwards?

Back

Shifting a graph upwards means that every point on the graph moves up by a certain number of units, which is represented by adding a positive value to the function.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c.