Characteristics of Graphs

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, f(0)).

Front

What is the domain of a function?

Back

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

Front

What does a negative interval represent in a graph?

Back

A negative interval indicates the x-values for which the function outputs negative values.

Front

What is a vertical stretch in graph transformations?

Back

A vertical stretch occurs when the graph of a function is stretched away from the x-axis by a factor greater than 1.

Front

What is a horizontal compression in graph transformations?

Back

A horizontal compression occurs when the graph of a function is compressed towards the y-axis by a factor greater than 1.

Front

How do you identify the transformations of a function?

Back

Transformations can be identified by analyzing changes in the function's equation, such as shifts, stretches, or reflections.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, indicating the maximum or minimum value.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the graph into two mirror-image halves, passing through the vertex.