Transforming Quadratic Functions

Front

What is the transformation of y = x² + 4?

Back

Shift UP

Front

What transformation does NOT occur when comparing h(x)=-5x²-1 to f(x)=x²?

Back

Reflected over the y-axis

Front

What is the transformation of y = x² - 5?

Back

Shift DOWN

Front

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

Back

Narrower

Front

Identify the transformation from f(x)=x² to g(x)= -(x+5)².

Back

Shifted left 5 units, reflection in x-axis

Front

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

Back

The graph opens upwards.

Front

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

Back

The graph opens downwards.

Front

What effect does adding a constant 'k' to y = x² have?

Back

It shifts the graph vertically by 'k' units.

Front

What effect does subtracting a constant 'k' from y = x² have?

Back

It shifts the graph downwards by 'k' units.

Front

What does the transformation y = (x - h)² represent?

Back

A horizontal shift to the right by 'h' units.