Graph Translations

How is Quadrilateral EFGH translated to E'F'G'H'?

• 6 down

• 6 down, 1 right

• 6 down, 3 left

• 8 down, 1 right

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right

The graph of m(x) = x² was transformed to create the graph of n(x) = x² + 21.  Which of these describes the transformation?

• A vertical shift down 21 units.

• A vertical shift up 21 units.

• A horizontal shift to the right 21 units.

• A horizontal shift to the left 21 units.

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Match the description to its equation.
Moves up 2
Moves left 4

• A

• B

• C

• D

Match the description to its equation.
Moves right 7

• A

• B

• C

• D

Match the description to its equation.
- moves down 3

• A

• B

• C

• D

Match the description to its equation.
Moves down 1
Moves right 1

• A

• B

• C

• D

What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units