Quadratics Transformations

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

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

What is the vertex of the following equation:
y=-3(x-2)² - 4?

• (-2,-4)
• (2,-4)
• (3,-4)
• (2,4)

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4
•  Vertical Compressed by 2 and translation up 4
• Horizontal Stretched by 2 and translation left 4
• Horizontal Compressed by 2 and translation right 4

Tags

CCSS.HSG.CO.A.2

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

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

Describe the transformations that occured from y = x² and
y = -(x + 2)² - 7

• Opens Upward, Right 2, Down 7
• Opens Downward, Right 2, Down 7
• Opens Upward, Left 2, Up 7
• Opens Downward, Left 2, Down 7

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

• The graph of f(x) is 2 units above the graph of g(x).
• The graph of f(x) is 20 units above the graph of g(x).
• The graph of f(x) is 2 units to the right the graph of g(x).
• The graph of f(x) is 20 units to the right the graph of g(x).

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower
• reflected, wider
• shifted down 4 units
• shifted up 4 units