8-2 Interpreting Quadratic Functions

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the point where the graph changes direction. It is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

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

Back

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, as the input values (x) increase, the output values (y) also increase. This means that for any two points in the interval, the function's value at the second point is greater than at the first.

Front

What is the maximum height of a quadratic function?

Back

The maximum height of a quadratic function occurs at the vertex if the parabola opens downwards. It can be found by evaluating the function at the x-coordinate of the vertex.

Front

What is the significance of the y-intercept in a quadratic function?

Back

Front

How can you determine the intervals of increase and decrease for a quadratic function?

Back

To determine the intervals of increase and decrease, find the vertex. The function increases to the left of the vertex and decreases to the right if it opens upwards, and vice versa if it opens downwards.

Front

What is the standard form of a quadratic function?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What does the term 'parabola' refer to in quadratic functions?

Back

Front

How do you identify the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function occurs at the vertex. If the parabola opens upwards, the vertex represents the minimum value; if it opens downwards, it represents the maximum value.