Quadratics Transformations and Characteristics

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

• f(x) has been translated up 2.
• f(x) has been translated down 2.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x)-4

• f(x) has been translated down 4.
• f(x) has been translated up 4.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

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

• f(x) has been translated to the right 3.
• f(x) has been translated to the left 3.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x+9)

• f(x) has been translated to the left 9.
• f(x) has been translated to the right 9.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-1)-5

• 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.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)+6

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

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.

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.  Describe the transformation f(x) - 7?

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