Graphing Quadratics In Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value determines the direction the parabola opens: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

How do you find the vertex from the vertex form equation?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What are the roots or x-intercepts of a quadratic function?

Back

Front

How can you determine if a parabola opens upwards or downwards?

Back

A parabola opens upwards if the 'a' value in the vertex form is positive and downwards if 'a' is negative.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you convert from standard form to vertex form?

Back

Front

What is the formula to find the x-coordinate of the vertex from standard form?

Back

Front

What is the effect of changing the 'k' value in the vertex form?

Back

Changing the 'k' value shifts the graph vertically: increasing 'k' moves the graph up, while decreasing 'k' moves it down.