Category 4 (A.7C)

Describe the transformation of f(x) that results in g(x):
g(x)=f(x+2)-3

• f(x) has been translated to the left two and down three.
• f(x) has been translated to the right two and down three.
• f(x) has been translated to the left two and up three.
• f(x) has been translated to the right two and up three.

The graph of the function f(x) = x² is the parent function.  How is the graph changed when f(x) - 7?

• Shifted up 7 units
• Shifted down 7 units
• Shifted to the right 7 units
• Shifted to the left 7 units

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

Tags

CCSS.HSG.CO.A.2

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.5

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• 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

Tags

CCSS.HSG.CO.A.2

CCSS.HSF.BF.B.3

What transformations have occurred? 

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Tags

CCSS.HSG.CO.A.2

How did we transform from the parent function?
y = -1/5(x - 1)² + 7

• 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

Tags

CCSS.HSG.CO.A.2

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

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

Tags

CCSS.HSG.CO.A.2

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.5

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