Graph Translations

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

Describe the transformations of f(x) when compared to the parent function.

f(x)=(x+7)²

• left 7 units

• right 7 units

• up 7 units

• down 7 units

Describe the transformation of y = (x - 4)²

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

If the blue line is f(x), what does the red dotted line represent?

• f(x+1)

• f(x-1)

• f(x)+1

• f(x)-1

If the blue line is y=f(x), what does the red dotted line represent?

• y=f(x+1)

• y=f(x-1)

• y=f(x)+1

• y=f(x)-1

If the blue line is y=f(x), what does the red dotted line represent?

• y=f(x+1)

• y=f(x-1)

• y=f(x)+1

• y=f(x)-1

What function will transform the red graph onto the blue graph?

• f(x)+4

• f(x)-4

• f(x+4)

• f(x-4)

• Horizontal translation left 16
• Horizontal translation right 16
• Vertical translation down 16
• Vertical translation up 16

If the blue line is y=f(x), what does the red dotted line represent?

• y=f(x+1)

• y=f(x-1)

• y=f(x)+1

• y=f(x)-1

If the blue line is y=f(x), what does the red dotted line represent?

• y=f(x+1)

• y=f(x-1)

• y=f(x)+1

• y=f(x)-1