Quadratic Graphs

Front

What is a quadratic graph?

Back

A quadratic graph is a graph of a quadratic function, which is a polynomial function of degree 2, typically in the form y = ax² + bx + c.

Front

What shape does a quadratic equation take when graphed?

Back

A quadratic equation takes the shape of a parabola when graphed.

Front

What are the x-intercepts of a quadratic graph also known as?

Back

The x-intercepts of a quadratic graph are also known as the 'zeros' of the function.

Front

What is the vertex of a parabola?

Back

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

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it has a minimum point (the vertex) and the y-values increase as you move away from the vertex.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it has a maximum point (the vertex) and the y-values decrease as you move away from the vertex.

Front

What is the axis of symmetry in a quadratic graph?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a) for a quadratic in the form y = ax² + bx + c.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, as x can take any value.

Front

What is the range of a quadratic function that opens upwards?

Back

The range of a quadratic function that opens upwards is all real numbers greater than or equal to the y-coordinate of the vertex.