Vertex Form Quadratics

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

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

Front

Back

Changing 'a' from 1 to -¾ makes the graph wider and opens it downward.

Front

Back

The vertex is (-4, -3).

Front

Back

Front

What is the effect of a negative 'a' value in the vertex form?

Back

A negative 'a' value reflects the graph over the x-axis.

Front

How do you find the axis of symmetry for a quadratic in vertex form?

Back

Front

What does the term 'k' represent in the vertex form?

Back

The term 'k' represents the vertical shift of the graph. It indicates how far the graph is translated up or down.

Front

Back

The maximum value of the function is 4, which occurs at the vertex.

Front

What is the parent function of a quadratic equation?

Back