Characteristics of Quadratic Functions

Front

What is the y-intercept of a parabola?

Back

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

Front

What is the maximum of a quadratic function?

Back

The maximum is the highest point (vertex) on a graph when a parabola opens down; it is where the graph changes from increasing to decreasing.

Front

What does it mean if a quadratic function has a max vertex?

Back

It means the parabola opens downwards.

Front

What does it mean if a quadratic function has a min vertex?

Back

It means the parabola opens upwards.

Front

How do you identify the y-intercept from a graph of a quadratic function?

Back

The y-intercept is found at the point where the graph crosses the y-axis, represented as (0, y).

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

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

Back

The range is from the vertex's y-value to positive infinity.

Front

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

Back

The range is from negative infinity to the vertex's y-value.

Front

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

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)) from the quadratic equation ax^2 + bx + c.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c, where a, b, and c are constants.