Transformations of Functions NC Math 4

What is a transformation?

• A change in the size or position of an object

• A change in the parent of a function

• A change in the direction of an object

• A change in the shape of an object

Tags

CCSS.HSG.CO.A.2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is translated up 6 units

• g(x) is translated down 6 units

• g(x) is translated left 6 units

• g(x) is translated right 6 units

How did the equation shift from the parent function? y=(x-3)+5

• 3 right, 5 up
• 3 left, 5 up
• 3 Down
• Moved 5 right

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

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

What equation represents the quadratic function?

• y = (x - 8)²
• y = (x + 8)²
• y = x² - 8
• y = x² + 8

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

• y = (x - 5)² - 3
• y = (x - 5)² + 3
• y = (x + 5)² - 3
• y = (x - 3)² - 5

• f(x) = −3(x+3)²
• f(x) = −3x² + 3
• f(x) = −(3x−3)²
• f(x) = (−3x)² − 3

Tags

CCSS.HSF-IF.C.7A

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

Tags

CCSS.HSF.BF.B.3

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

Tags

CCSS.HSF.BF.B.3

• Horizontal stretch

• Horizontal compression

• Vertical stretch

• Vertical compression

Tags

CCSS.HSF.BF.B.3