Quadratic transformations

Which transformation maps the graph of

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

• a reflection across the x-axis

• 4 units up

• 4 units to the left

• 4 units to the right

Match the description to its equation.
Moves up 2
Moves left 4

• A
• B
• C
• D

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Match the equation to its description.

• Reflected over x axis and up 4

• Reflected over x axis and down 4

• Reflected over x axis and right 4

• Reflected over x axis and left 4

Match the equation to its description.

• Vertical Stretch by 2 and up 4

• Vertical Shrink by 2 and up 4

• Vertical Stretch by 2 and left 4

• Vertical Shrink by 2 and left 4

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

How did we transform from the parent function?

y = x² + 2

• horizontal shift up 2

• vertical shift up 2

• horizontal shift down 2

• vertical shift down 2

How did we transform from y=x²?

y = -3x²

• reflection over x-axis and vertical shift down 3

• reflection over x-axis and vertical stretch by 3

• vertical stretch by -3

• reflection over x-axis and vertical shrink by -3

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

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