Transformation of functions

If the blue function is f(x)=x², then the red function must be

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

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

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

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

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• vertical compression

• vertical stretch

• Down 5 Units

Describe the transformation that occurred

t(x) = f(x) - 1

• Right 1 Unit

• Down 1 Unit

• vertical compression

• vertical stretch

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

s(x) = 7f(x)

• vertical compression

• Up 7 Units

• Over 7 Units

• vertical stretch

horizontal compression

• g(x) = 3f(x)

• g(x) = ½f(x)

• g(x) = f(¼x)

• g(x) = f(5x)