Key Features of Quadratics Math 2

Front

What is the standard form of a quadratic equation?

Back

Front

What does the vertex of a quadratic function represent?

Back

The vertex of a quadratic function represents the highest or lowest point on the graph, depending on whether the parabola opens upwards or downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the formula to find the vertex of a quadratic function in standard form?

Back

Front

What is the difference between increasing and decreasing intervals in a quadratic function?

Back

Increasing intervals are where the function's output (y-value) rises as the input (x-value) increases, while decreasing intervals are where the output falls as the input increases.

Front

How do you determine the increasing interval of a quadratic function?

Back

To determine the increasing interval, find the vertex and identify the x-values to the right of the vertex, where the function is rising.

Front

How do you determine the decreasing interval of a quadratic function?

Back

To determine the decreasing interval, find the vertex and identify the x-values to the left of the vertex, where the function is falling.

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the range of a quadratic function that opens upwards?

Back

Front

What is the range of a quadratic function that opens downwards?

Back