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 does a vertical shift up by 2 mean in the function y = x² + 2?

Back

It means the entire graph of the parent function y = x² is moved 2 units upwards.

Front

How does the function g(x) = (x - 3)² transform the parent function?

Back

It represents a horizontal shift to the right by 3 units.

Front

What effect does the negative sign have in the function y = -3x²?

Back

It reflects the graph over the x-axis.

Front

What does a vertical stretch by a factor of 3 mean in the function y = -3x²?

Back

It means the graph is stretched vertically, making it narrower compared to the parent function.

Front

How does the function y = 2(x - 4)² + 5 transform the parent function?

Back

It represents a horizontal shift to the right by 4 units and a vertical shift up by 5 units.

Front

What does the function g(x) = x² - 5 represent in relation to the parent function?

Back

It represents a vertical shift down by 5 units.

Front

What is the effect of a vertical shrink in a quadratic function?

Back

It makes the graph wider compared to the parent function.

Front

How do you identify a reflection in a quadratic function?

Back

A reflection occurs when there is a negative coefficient in front of the x² term.

Front

What does the term 'vertex' refer to in a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function.