IM 2: Quadratic Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

Front

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

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (larger |a| means narrower, smaller |a| means wider).

Front

What is the effect of changing 'h' in the vertex form equation?

Back

Changing 'h' shifts the graph horizontally. If h is positive, the graph shifts to the right; if negative, it shifts to the left.

Front

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

Back

Changing 'k' shifts the graph vertically. If k is positive, the graph shifts up; if negative, it shifts down.

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If 'a' is positive, the function has a minimum value at the vertex. If 'a' is negative, it has a maximum value at the vertex.

Front

Back

The vertex is (-3, 3).

Front

Back

The horizontal shift is 4 units to the left.

Front

What is the equation of a parabola that opens downward with vertex (4, 2)?

Back

Front

What does it mean if a parabola has a vertex at (h, k)?

Back

It means that the point (h, k) is the highest or lowest point on the graph, depending on the direction it opens.