test 3 Quadratic Attributes

Front

Back

Front

What does it mean for a parabola to open upwards or downwards?

Back

Front

Back

Front

Back

This represents a vertical stretch/compression by a factor of |a|, a horizontal shift right by h, and a vertical shift up by k.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on whether it opens upwards or downwards.

Front

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

Back

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

Front

What is the quadratic formula?

Back

Front

What does it mean for a quadratic function to have complex roots?

Back

Complex roots occur when the discriminant (b^2 - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

Front

Back

A negative coefficient causes the parabola to open downwards, indicating a maximum point at the vertex.

Front

What is the relationship between the vertex and the axis of symmetry?

Back

The vertex lies on the axis of symmetry, which divides the parabola into two mirror-image halves.