Transformations of Functions Flashcard

Front

What transformation is applied? Options: Expand horizontally by a factor of 2, translate up 3 units; Compress vertically by a factor of 3, translate up 3 units; Reflect across the x-axis, translate down 3 units; Compress horizontally by a factor of 2, translate up 3 units

Back

Expand horizontally by a factor of 2, translate up 3 units

Front

What transformation is applied?
Options: Expand horizontally by a factor of 2, translate up 3 units, Compress vertically by a factor of 3, translate up 3 units, Reflect across the x-axis, translate down 3 units, Compress horizontally by a factor of 2, translate up 3 units

Back

Compress vertically by a factor of 3, translate up 3 units

Front

What transformation is applied? Options: Reflect across the y-axis, reflect across the x-axis, translate left 1 unit; Compress vertically by a factor of 3, translate up 3 units; Reflect across the x-axis, translate down 3 units; Compress horizontally by a factor of 2, translate up 3 units

Back

Reflect across the x-axis, translate down 3 units

Front

Transformations to change f(x) to g(x):

Back

expand horizontally by a factor of 2, reflect across the x-axis, translate right 3 units, translate down 3 units

Front

Effect of compressing a function vertically by a factor of 2?

Back

The graph becomes wider

Front

If the x intercepts of a y=f(x) are -8 and 1/2, what are the intercepts if y=-5f(x)?

Back

-8 and 1/2

Front

What is the transformation applied to f(x)? Options: Reflect across the x-axis, expand vertically by a factor of 2, translate left 3 units, translate up 2 units; Reflect across the y-axis, expand vertically by a factor of 2, translate left 3 units, translate up 2 units; Reflect across the y-axis, compress vertically by a factor of 2, translate right 3 units, translate down 2 units; Reflect across the x-axis, compress vertically by a factor of 2, translate right 3 units, translate down 2 units

Back

Reflect across the y-axis, expand vertically by a factor of 2, translate left 3 units, translate up 2 units

Front

If the x intercepts of a y=f(x) are -8 and 1/2, what are the intercepts if y=f(x - 7)?

Back

-1 and 15/2

Front

Identify the parent function f(x) and write an equation for the function given.

Back

Front

If a function is increasing from (-2, 7), what could you say if y=-f(x)?

Back

Decreasing from (-2, 7)