Quadratic 3 Test (word probs/characteristics/transformations)

Front

What is the standard form of a quadratic equation?

Back

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How do you find the vertex of a parabola given in standard form?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

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

Back

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

Front

What are the x-intercepts of a quadratic function?

Back

Front

How can you determine the number of solutions a quadratic equation has?

Back

Front

What is the formula for finding the x-intercepts of a quadratic equation?

Back

Front

What does it mean if a quadratic equation has two equal solutions?

Back

If a quadratic equation has two equal solutions, it means the vertex of the parabola touches the x-axis, indicating that the parabola is tangent to the x-axis.

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex, and can be found by evaluating the function at the vertex coordinates.