Transformations on a Graph

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

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

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

• 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

• 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

Pick the correct answer.

• F

• G

• H

• J

A transformation in which a graph or geometric figure is picked up and moved to another  location without any change in size or orientation.

• Translation

• Rotation

• Reflection

• Dilation

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Determine how to translate triangle A'B'C' to triangle ABC.

• right two, down five

• right two, down 9

• left two, down 9

• left two, down 5