12/9 Warm-Up: Characteristics of Quadratic Graphs

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

Where does the axis of symmetry pass through?

Back

The vertex of the parabola.

Front

What are the solutions of a quadratic graph called?

Back

The x-intercepts or roots of the graph.

Front

What is a parabola?

Back

The graph of a quadratic function, which is U-shaped.

Front

What is the vertex of a parabola?

Back

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

Front

What does the y-intercept represent in a quadratic graph?

Back

The point where the graph intersects the y-axis.

Front

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

Back

By setting the quadratic equation equal to zero and solving for x.

Front

What is the significance of the maximum or minimum point in a quadratic graph?

Back

It indicates the highest or lowest value of the function, depending on whether the parabola opens upwards or downwards.

Front

What does it mean if a quadratic graph has no real solutions?

Back

The graph does not intersect the x-axis, indicating that the quadratic equation has no real roots.

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.