Key Features and Transformations of Functions

How did the equation shift from the parent function? y=x+7

• Up 7
• Down 7
• Flipped
• Steeper

Identify the transformations. 

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

Tags

CCSS.HSF.BF.B.3

Identify the transformations

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift down 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift up 2

Tags

CCSS.HSF.BF.B.3

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Identify the transformations. 

• horizontal shift to the right 2 and vertical shift up 4
• horizontal shift to the right 2 and vertical shift down 4
• horizontal shift to the left 2 and vertical shift up 2
• horizontal shift to the left 2 and vertical shift down 2

Tags

CCSS.HSF.BF.B.3

f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

Identify the transformations. 

• horizontal shift to the right 2 and vertical shift up 4
• horizontal shift to the right 2 and vertical shift down 4
• horizontal shift to the left 2 and vertical shift up 4
• horizontal shift to the left 2 and vertical shift down 4

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 3
• horizontal shift to the left 2 and vertical compression by a factor of 3

Tags

CCSS.HSF.BF.B.3

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 = -1/2(x - 1)² + 3

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²