Transformations of Functions Review

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

f(x)=3x², g(x)=-f(x)

• g is a reflection on the x-axis

• g is a reflection on the y-axis

• g is a vertical stretch

• g is a horizontal stretch

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
f(x)=-x+4, g(x)=2f(x)

• g is a vertical shrink by a factor of 2
• g is a horizontal stretch by a factor of 2
• g is a vertical stretch by a factor of 2
• g is a reflection across the y-axis

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

• Vertical stretch

• Vertical compression

• Vertical translation up by 2 units.

  Horizontal stretch

• Horizontal compression

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 -f(x)?

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

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

• Shifted up "d" units
• Shifted down "d" units
• Stretches vertically
• Stretches horizontally

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

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

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units