FINAL- Part 2 Key Properties of Quadratics

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What does it mean if a quadratic function has a maximum value?

Back

It means the parabola opens downwards and the vertex represents the highest point.

Front

What does it mean if a quadratic function has a minimum value?

Back

It means the parabola opens upwards and the vertex represents the lowest point.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

How can you identify the vertex from the graph of a quadratic function?

Back

The vertex is the point where the parabola changes direction, either the highest or lowest point.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

How do you find the axis of symmetry from the quadratic equation?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form y = ax^2 + bx + c.

Front

What is the effect of changing the value of 'c' in the quadratic function?

Back

Changing 'c' shifts the graph up or down without affecting the shape of the parabola.

Front

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

Back

The vertex lies on the axis of symmetry, which is the line that divides the parabola into two equal halves.