Maximum and Minimum (CFU)

Front

What is a maximum point in a parabola?

Back

A maximum point is the highest point on the graph of a parabola, where the function changes from increasing to decreasing.

Front

What is a minimum point in a parabola?

Back

A minimum point is the lowest point on the graph of a parabola, where the function changes from decreasing to increasing.

Tags

CCSS.HSF-IF.C.7A

Front

How do you determine if a parabola opens upwards or downwards?

Back

If the coefficient of the x² term is positive, the parabola opens upwards (has a minimum). If it is negative, the parabola opens downwards (has a maximum).

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a parabola?

Back

The vertex is the point where the parabola changes direction; it is either the maximum or minimum point.

Front

How can you find the maximum or minimum value of a quadratic function?

Back

You can find the maximum or minimum value by using the vertex formula: x = -b/(2a) for the quadratic equation ax² + bx + c.

Front

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

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

What is the significance of the y-coordinate of the vertex?

Back

The y-coordinate of the vertex represents the maximum or minimum value of the function.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the difference between a maximum and a minimum in terms of function values?

Back

A maximum is the largest value of the function, while a minimum is the smallest value of the function.

Front

How do you identify the maximum or minimum from a graph?

Back

You identify the maximum or minimum by locating the highest or lowest point on the graph.