Graphing Quadratics In Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

The variable 'a' determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

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

Back

Front

What is the axis of symmetry in a parabola?

Back

Front

What are the roots or x-intercepts of a parabola?

Back

Front

What does it mean for a parabola to have a maximum value?

Back

A parabola has a maximum value if it opens downwards (when 'a' is negative) and the vertex represents the highest point on the graph.

Front

What does it mean for a parabola to have a minimum value?

Back

A parabola has a minimum value if it opens upwards (when 'a' is positive) and the vertex represents the lowest point on the graph.

Front

How does changing the value of 'h' in the vertex form affect the graph of the parabola?

Back

Changing 'h' shifts the parabola left or right. If 'h' increases, the parabola shifts to the right; if 'h' decreases, it shifts to the left.

Front

How does changing the value of 'k' in the vertex form affect the graph of the parabola?

Back

Changing 'k' shifts the parabola up or down. If 'k' increases, the parabola shifts up; if 'k' decreases, it shifts down.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the point where the parabola changes direction and represents either the maximum or minimum value of the function.