Linear Transformations

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Does this result in a horizontal or vertical translation?

• horizontal

• vertical

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 7. Does this result in a horizontal or vertical translation?

• horizontal

• vertical

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

How did the equation shift from the parent function? f(x)=(x-3)+5

• 3 right, 5 up

• 3 left, 5 up

• 3 Down

• Moved 5 right

This is the parent function f(x). If the line, g(x), is translated 3 units up, what would the equation of the line be?

• f(x) + 3

• f(x) - 3

• 3f(x)

• -3f(x)

What is a translation of a linear function?

• a rotation

• a flip

• reflection

• a vertical shift

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is reflected and steeper by a factor of 3

• Graph g is steeper by a factor of 3

• Graph g reflected and less steep by a factor of 3

• Graph g reflected and steeper by a factor of 3

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g reflected

• Graph g is steeper by a factor of 2

• Graph g is steeper by a factor of 2 and it reflected

• Graph g is steeper by a factor of 2,it reflected, and it shifted up 3 units

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7