Transformation of Equations

What is the equation of the graphed Exponential transformation?

What is the equation for a Logarithmic function that has been vertically stretched by a factor of 4?

Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down.

Without graphing, how can you tell how the graphs of y = x and y = x − 1 are related?

• The graphs of these equations are lines.

• The graphs of these equations are parallel.

• The equation y = x − 1 is a translation of the parent function y = x, one unit down.

• All of the above.

Compare the graphs of y = x and y = 2x. How are they related?

• The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph half as steep.

• The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph twice as steep.

• The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph twice as steep.

• The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph half as steep.

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

• 3 right, 5 up

• 3 left, 5 up

• 3 Down

• Moved 5 right

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

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

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

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units