Quadratic Functions Flashcard Standard & Vertex

Front

What is a quadratic function?

Back

Front

What shape does the graph of a quadratic function take?

Back

The graph of a quadratic function is called a parabola.

Front

What is the vertex of a parabola?

Back

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

Front

What determines if a parabola opens upwards or downwards?

Back

The sign of the coefficient 'a' in the quadratic equation: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a parabola?

Back

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

Front

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

Back

Front

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

Back

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

Front

What is the standard form of a quadratic equation?

Back

Front

What is the vertex form of a quadratic equation?

Back

Front

What is the factored form of a quadratic equation?

Back