4.7 Transformations of Quadratics

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 when the equation is y = (x - 4)²?

Back

Shift RIGHT 4 units.

Front

How does the function f(x) = x² - 8 transform the parent function?

Back

Vertical shift DOWN 8 units.

Front

What transformation is applied to f(x) = x² to get g(x) = (x + 4)²?

Back

Horizontal shift LEFT 4 units.

Front

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

Back

The graph is NARROWER.

Front

What transformation does f(x) = (x + 7)² represent compared to the parent function?

Back

Horizontal shift LEFT 7 units.

Front

What effect does a negative sign have in front of a quadratic function, such as y = -x²?

Back

It reflects the graph across the x-axis.

Front

What does a vertical stretch of a quadratic function, like y = 3x², do to its graph?

Back

It makes the graph NARROWER.

Front

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

Back

It moves the graph UP or DOWN without changing its shape.

Front

What transformation occurs when the equation is y = (x + 2)² + 3?

Back

Shift LEFT 2 units and UP 3 units.