Transforming Graphs

• y=(x-4)²+1

• y=(x-4)²-1

• y=(x+4)²+1

• y=(x+4)²-1

• Translation left 1 unit, Vertical Stretch, Translation down 1 unit

• Vertical Compression, Translation right 1, Translation down 1

• Vertical stretch, Translate right 1 unit, Translation down 1 unit

• Translation left 1 unit, Horizontal stretch, Translation down 1 unit

• f(x)= -(x+1)²+4

• f(x)= (x-1)²-4

• f(x)= -(x+1)²-4

• f(x)= -(x+4)²-1

• Horizontal translation right 2; Vertical translation down 12
• Horizontal translation right 2; Vertical translation down 4
• Horizontal translation left 2; vertical translation down 12
• Horizontal translation left 2; vertical translation down 4

• horizontal trans left 15, vertical trans down 10
• horizontal trans right 15, vertical trans down 10
• horizontal trans right 15, vertical trans up 10
• horizontal trans left 15, vertical trans up 10

How does reflecting a graph over both the x-axis and y-axis affect the original graph?

• It translates the graph.

• It rotates the graph 180 degrees.

• It dilates the graph.

• It does not change the graph.

The graph of f(x) = x² was transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h ?

• 
• 
• 
• 

The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.

• f(x + 3) + 5

• -f(x - 3) + 5

• -f(x + 3) + 5

• -f(x + 5) + 3

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4

• f(x)=(x-3)²-4

• f(x)=(x+4)²-3

• f(x)=(x-4)²-3

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left

• Horizontal translation: three units to the right

• Vertical translation: three units up

• Vertical translation: three units down