Transformations Review (partners)

Describe the transformation g(x)=3f(x+9)

• Vertical stretch by a factor of 3 and translation of 9 weeks to the left

• Vertical stretch by a factor of 1/3 and translation of 9 weeks to the right

• Horizontal stretch by a factor of 3 and translation of 9 weeks to the left

• Horizontal compression by a factor of 3 and translation of 9 weeks to the right

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by a factor of 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by a factor of 1/2, and shifted left 5

• Shifted right 5, shifted down 2

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• vertical compression by a factor of 1/5

• vertical stretch by a factor of 1/5

• Down 5 Units

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by a factor of 2, shifted 2 units left and 5 down

• Compress by a factor of 5, shifted 2 units left and 2 down

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

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

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

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units
• Narrower
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units