Quadratic Transformations

Front

What is a quadratic function?

Back

Front

What does the 'a' value in a quadratic function affect?

Back

The 'a' value affects the direction of the parabola: if 'a' is positive, the parabola opens upward; if 'a' is negative, it opens downward.

Front

What is the vertex of a parabola?

Back

Front

Back

Changing 'h' shifts the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

Front

Back

Changing 'k' shifts the graph vertically. If 'k' increases, the graph shifts up; if 'k' decreases, it shifts down.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, there is a corresponding point (x, -y) on the graph.

Front

What is the effect of multiplying a quadratic function by a negative number?

Back

Multiplying a quadratic function by a negative number reflects the graph over the x-axis, changing the direction of the parabola.

Front

How does the value of 'a' affect the width of the parabola?

Back

The absolute value of 'a' affects the width: larger values of |a| make the parabola narrower, while smaller values make it wider.

Front

What is the standard form of a quadratic equation?

Back