Graphing Quadratics in Vertex Form

Front

What is the vertex of a parabola in vertex form?

Back

Front

What does the 'a' in the vertex form of a quadratic equation indicate?

Back

The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards. A larger absolute value of 'a' makes the parabola narrower.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by setting x = 0 in the equation.

Front

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

Back

The x-intercepts are found by setting y = 0 and solving the equation for x.

Front

What is the axis of symmetry in a parabola?

Back

Front

What is the difference between maximum and minimum in a parabola?

Back

A maximum is the highest point on the graph (occurs when 'a' is negative), while a minimum is the lowest point (occurs when 'a' is positive).

Front

What is the domain of a quadratic function?

Back

Front

What is the range of a quadratic function with a minimum?

Back

Front

What is the range of a quadratic function with a maximum?

Back

Front

What are the roots of a quadratic equation?

Back