Quadratic Transformations Review

Front

What is the parent function of a quadratic equation?

Back

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

Front

What effect does a positive 'a' value have in the equation y = a(x - h)² + k?

Back

A positive 'a' value results in a vertical stretch of the graph.

Front

What does the 'h' represent in the vertex form of a quadratic equation y = a(x - h)² + k?

Back

The 'h' represents the horizontal translation of the graph, moving it left or right.

Front

What does the 'k' represent in the vertex form of a quadratic equation y = a(x - h)² + k?

Back

The 'k' represents the vertical translation of the graph, moving it up or down.

Front

What transformation does the equation y = (x + 3)² represent compared to y = x²?

Back

It represents a translation 3 units to the left.

Front

What transformation does the equation y = x² - 2 represent compared to y = x²?

Back

It represents a translation 2 units down.

Front

What does a negative 'a' value indicate in the equation y = a(x - h)² + k?

Back

A negative 'a' value indicates a reflection over the x-axis.

Front

How does the equation y = 5(x - 2)² - 3 transform the parent function y = x²?

Back

It reflects the graph, translates it right 2 units, stretches it vertically by a factor of 5, and translates it down 3 units.

Front

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

Back

A vertical shrink occurs when the 'a' value is between 0 and 1, making the graph wider.

Front

What does the equation y = -rac{1}{5}(x - 1)² + 4 represent?

Back

It represents a reflection over the x-axis, a vertical shrink by a factor of 5, a translation right 1 unit, and a translation up 4 units.

Tags

CCSS.HSF-IF.C.7A