2025 SEM ALG 1_Pos/Neg; Inc./Dec. Intervals of Quadratics

Front

What is an increasing interval in a quadratic function?

Back

An increasing interval is a range of x-values where the function's output (y-values) rises as x increases.

Front

Identify the increasing interval for the function: If the vertex is at (-1, 3), what is the increasing interval?

Back

Front

What is a decreasing interval in a quadratic function?

Back

A decreasing interval is a range of x-values where the function's output (y-values) falls as x increases.

Front

Identify the decreasing interval for the function: If the vertex is at (2, 4), what is the decreasing interval?

Back

Front

What does the vertex of a quadratic function represent?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine where a quadratic function is increasing or decreasing?

Back

Analyze the graph: the function is increasing to the right of the vertex and decreasing to the left.

Front

What is the significance of the x-axis in determining intervals?

Back

The x-axis helps identify where the function crosses zero, indicating potential changes in increasing or decreasing behavior.

Front

If a quadratic function opens upwards, where is it increasing?

Back

Front

If a quadratic function opens downwards, where is it decreasing?

Back

Front

What is the standard form of a quadratic function?

Back