Quadratic Graphs & Characteristics

Front

What is the vertex of a parabola?

Back

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

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 determine if a parabola has a maximum or minimum?

Back

If the parabola opens upwards, it has a minimum; if it opens downwards, it has a maximum.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What are x-intercepts?

Back

X-intercepts are the points where the graph of a function crosses the x-axis, meaning y = 0.

Front

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

Back

Set the quadratic equation to zero and solve for x.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

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

Back

The range is from the y-coordinate of the vertex to positive infinity.

Front

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

Back

The range is from negative infinity to the y-coordinate of the vertex.

Front

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

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).