Identifying Function Transformations

In the transformation functions, h represents which transformation?

• Vertical Shift

• Flip Across the X Axis

• Horizontal Shift

• Vertical Stretch

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.

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7

• A curve starting at the origin and increasing slowly, shifted down by 1 unit

• A curve starting at the origin and increasing slowly, shifted up by 1 unit

• A curve starting at the origin and increasing slowly, shifted left by 1 unit

• A curve starting at the origin and increasing slowly, shifted right by 1 unit

• A curve starting at the origin and increasing slowly, stretched vertically

• A curve starting at the origin and increasing slowly, compressed vertically

• A curve starting at the origin and increasing slowly, shifted up by 2 units

• A curve starting at the origin and increasing slowly, shifted right by 2 units