Transforming Quadratic Functions

Front

What is the transformation of the function y = 3(x - 3)² + 3?

Back

Narrow, Right, Up

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

(-5, -4)

Front

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

Back

Narrower

Front

What is the transformation of the function y = x² + 4?

Back

Shift UP

Front

What is the transformation of the function y = (x - 4)²?

Back

Shift RIGHT

Front

What does the coefficient in front of (x - h)² indicate in the function y = a(x - h)² + k?

Back

It indicates the width and direction of the parabola.

Front

What is the effect of a negative coefficient in the function y = -a(x - h)² + k?

Back

It reflects the parabola across the x-axis.

Front

What does the vertex (h, k) represent in the function y = a(x - h)² + k?

Back

It represents the highest or lowest point of the parabola.

Front

What is the transformation of the function y = 2(x + 1)² - 5?

Back

Narrow, Left, Down

Front

How does changing the value of 'h' in y = a(x - h)² + k affect the graph?

Back

It shifts the graph horizontally.