Algebra 1 Graphing Quadratics Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

The 'a' value affects the width and direction of the parabola. If |a| > 1, the parabola is narrower; if 0 < |a| < 1, it is wider. If a < 0, the parabola opens downward.

Front

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

Back

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

Front

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

Back

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

Front

Back

The vertex is (-3, -5).

Front

Back

This represents a vertical stretch by a factor of 3, a reflection over the x-axis, and a vertical shift up 1 unit.

Front

If the vertex of a parabola is at (2, 3) and it opens upwards, what is a possible vertex form equation?

Back

Front

What does it mean if a quadratic function 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 whether the parabola opens upwards or downwards.

Front

Back

Front

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

Back

A negative 'a' value indicates that the parabola opens downward.