Graphing Quadratics in Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

How do you identify the vertex from the vertex form?

Back

Front

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

Back

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

Front

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

Back

The vertex is the highest or lowest 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 axis of symmetry in a quadratic function?

Back

Front

How can you find the y-intercept of a quadratic function in vertex form?

Back

Front

What is the general shape of a quadratic graph?

Back

A quadratic graph is a parabola, which can open upwards or downwards.

Front

What does it mean if a quadratic function has no real roots?

Back

If a quadratic function has no real roots, it means the graph does not intersect the x-axis, indicating that the vertex is above the x-axis for a downward-opening parabola or below for an upward-opening one.

Front

How do you determine the direction of a parabola from its equation?

Back

The direction of the parabola is determined by the sign of 'a' in the vertex form: positive 'a' means it opens upwards, and negative 'a' means it opens downwards.