Q2 - Alg 2 - Hw #06

Front

What is a dilation in the context of transformations?

Back

A dilation is a transformation that alters the size of a figure but not its shape, scaling it up or down from a center point.

Front

Back

This represents a vertical stretch, which is a type of dilation.

Front

Back

This represents a vertical compression, which is also a type of dilation.

Front

What is the effect of a horizontal dilation on the graph of a function?

Back

A horizontal dilation stretches or compresses the graph horizontally, affecting the x-coordinates of points on the graph.

Front

If a function is dilated by a factor of 2, what happens to its graph?

Back

The graph of the function is stretched away from the origin by a factor of 2.

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure, while a translation shifts the figure's position without altering its size or shape.

Front

What is the general form of a quadratic function?

Back

Front

How does the value of 'a' in a quadratic function affect its graph?

Back

The value of 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

Back

Front

What is the axis of symmetry for a parabola?

Back