Quadratic transformations

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x².

Front

What transformation occurs in the function y = x² + 4?

Back

The graph shifts UP by 4 units.

Front

How does the function y = 5x² compare to the parent function y = x²?

Back

The graph is NARROWER than the parent function.

Front

What transformation is represented by the function f(x) = -x²?

Back

There is a REFLECTION over the x-axis.

Front

What transformation occurs when changing y = x² to y = (x-4)²?

Back

The graph shifts RIGHT by 4 units.

Front

How does the function y = x² + 2 transform from the parent function?

Back

There is a VERTICAL shift UP by 2 units.

Front

What does a positive 'a' value in y = ax² indicate about the graph?

Back

The graph opens UPWARD.

Front

What does a negative 'a' value in y = ax² indicate about the graph?

Back

The graph opens DOWNWARD.

Front

What effect does increasing the value of 'a' in y = ax² have on the graph?

Back

The graph becomes NARROWER.

Front

What effect does decreasing the value of 'a' in y = ax² have on the graph?

Back

The graph becomes WIDER.