Graphing Quadratic Equations

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

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

Back

The range is from the vertex's y-coordinate to positive infinity, represented as [k, ∞) where k is the vertex's y-coordinate.

Front

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

Back

The range is from negative infinity to the vertex's y-coordinate, represented as (-∞, k] where k is the vertex's y-coordinate.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the quadratic equation equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Front

Back

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x=0.

Front

What does the term 'axis of symmetry' refer to in a parabola?

Back

Front

What is the significance of the leading coefficient in a quadratic function?

Back

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

Front

How can you determine if a quadratic function has a maximum or minimum value?

Back

If the parabola opens upwards, it has a minimum value at the vertex; if it opens downwards, it has a maximum value at the vertex.

Front

What is the standard form of a quadratic equation?

Back