Quadratic Transformations

Front

What is a quadratic transformation?

Back

A quadratic transformation refers to the changes made to the graph of a quadratic function, such as translations, reflections, stretches, and compressions.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x², which is the simplest form of a quadratic function.

Front

What does a vertical shift up mean in quadratic transformations?

Back

A vertical shift up means that the entire graph of the quadratic function is moved upwards by a certain number of units.

Front

What does a vertical stretch mean in quadratic transformations?

Back

A vertical stretch means that the graph of the quadratic function is pulled away from the x-axis, making it narrower.

Front

What does a horizontal shift to the left mean in quadratic transformations?

Back

A horizontal shift to the left means that the entire graph of the quadratic function is moved leftward by a certain number of units.

Front

What is the effect of a negative coefficient in front of a quadratic function?

Back

A negative coefficient reflects the graph across the x-axis.

Front

How does the transformation y = (x - 4)² affect the graph of y = x²?

Back

The transformation y = (x - 4)² shifts the graph of y = x² to the right by 4 units.

Front

What does it mean to compress a quadratic function vertically?

Back

To compress a quadratic function vertically means to make the graph wider, bringing it closer to the x-axis.

Front

What is the transformation from y = x² to y = 2x²?

Back

The transformation from y = x² to y = 2x² is a vertical stretch by a factor of 2.

Front

What does a translation of 5 units down do to the graph of a quadratic function?

Back

A translation of 5 units down shifts the entire graph of the quadratic function down by 5 units.