Quadratic Transformations

Front

What is the vertex of the quadratic function y = (x + 4)² - 6?

Back

The vertex is (-4, -6).

Front

Which quadratic function is not reflected down?

Back

f(x) = 3(x + 2)² is not reflected down.

Front

What transformation occurs when changing y = x² to y = x² + 8?

Back

The graph is shifted up 8 units.

Front

How do you determine the width of a quadratic function?

Back

The width is determined by the coefficient of x²; larger coefficients result in narrower graphs.

Front

Order the following quadratic functions from narrowest to widest: y = 4x², y = 2x² - 2, y = x², y = 0.5x².

Back

Narrowest to widest: y = 4x², y = 2x² - 2, y = x², y = 0.5x².

Front

What does it mean for a quadratic function to be reflected over the x-axis?

Back

It means that the function's graph is flipped upside down.

Front

What is the effect of a negative sign in front of a quadratic function?

Back

It reflects the graph over the x-axis.

Front

How does the transformation y = x² - 4 differ from y = x²?

Back

y = x² - 4 shifts the graph down 4 units.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the graph.