transformations of polynomials

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection x-axis and vertical shrink

• Reflect, horizontal shrink by 1/2, left 9, down 1

• Vertical shrink by 1/2, left 9, down 1

• Horizontal shrink by 1/2, right 9, down 1

• Vertical Stretch by 1/2, left 9, down 1

• Vertical stretch by 5

• Vertical Shrink by 5

• Reflect

• Move up 5

• x³+ 4

• x³- 4

• (x - 4)³

• (x + 4)³

• x³+7

• x³-7

• (x-7)³

• (x+7)³

• x³ + 3

• x³ - 3

• (x + 3)³

• (x - 3)³

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

• Reflection across the x-axis

• Reflection across the y-axis

• Down 1

• Left 1