Transformations from a Graph

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

• Graph g is less steep by a factor of 1/5

• Graph g shifted down 1 unit

• Graph g is steeper by a factor of 1/5

• Graph g shifted up 2 units

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

• Graph g shifted down 6 units

• Graph g is steeper by a factor of 7

• Graph g is less steep by a factor of 1/3

• Graph g shifted up 6 units

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

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 shifted up 2 units

• Graph g reflected and shifted down 2 units.

• Graph g reflected and shifted up 2 units

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

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

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.

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

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

How did the equation shift from the parent function? y = f(x + 7)

• Up 7

• Down 7

• Left 7

• Right 7