4.2 Characteristics of Quadratic Graphs- Lesson Check

Front

What are the solutions (roots, zeros, x-intercepts) of a quadratic graph?

Back

The solutions are the x-values where the graph intersects the x-axis.

Front

What is the axis of symmetry in a parabola?

Back

A line whose equation is the x-coordinate of a parabola's vertex, dividing the parabola into mirror images.

Front

How can you determine how long an object is in the air from a quadratic graph?

Back

By finding the x-intercepts of the graph, which represent the time when the object is at ground level.

Front

How many zeros can a parabola have?

Back

A parabola can have 0, 1, or 2 zeros.

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph, depending on the direction it opens.

Front

What does it mean if a quadratic graph opens upwards?

Back

The vertex is the minimum point, and the parabola has a U-shape.

Front

What does it mean if a quadratic graph opens downwards?

Back

The vertex is the maximum point, and the parabola has an upside-down U-shape.

Front

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

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the significance of the y-intercept in a quadratic graph?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of the function when x=0.

Front

What is the general form of a quadratic equation?

Back

The general form is y = ax^2 + bx + c.