Transformations of linear, quadratics, and absolute value

Which transformation will occur if f(x) = x is replaced with f(2x)?

• Vertical stretch
• Vertical compression
• Vertical translation up by 2 units.
  Horizontal stretch
• Horizontal compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units

Tags

CCSS.HSF.BF.B.3

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

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

Tags

CCSS.HSF.BF.B.3

When you subtract a number from the parent function, what happens to the graph?

EX: f(x) = x² - 5

• Graph moves UP

• Graph moves to the RIGHT

• Graph moves DOWN

• Graph moves to the LEFT

Tags

CCSS.HSF.BF.B.3

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Match the equation to its description.

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

Tags

CCSS.HSF-IF.C.7A