Function Notation Graph Translations

What is the algebraic notation of a figure is Translated 2 units right and 5 units up?

• (x, y) --> (x - 2, y - 5)

• (x, y) --> (x + 2, y + 5)

• (x, y) --> (x + 5, y - 2)

• (x, y) --> (5x, 2y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• 6 down

• 6 down, 1 right

• 6 down, 3 left

• 8 down, 1 right

Tags

CCSS.HSG.CO.A.2

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8

• up 9, left 4

• down 3, right 8

• down 9, right 4

Tags

CCSS.HSG.CO.A.2

How would you translate point P to P'?

• Translate 2 units to the right and  8 units down

• Translate 3 units down and 2 units to the right

• Translate 4 units down and 4 units to the left

• Translate 8 units to the right and 2 units down

Tags

CCSS.HSG.CO.A.2

• A.
• B.
• C.
• D.

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3

f(x) = x is graphed in black. g(x)=x+3 is graphed in red. Which of the following describes the transformation from f(x) to g(x). SELECT ALL THAT APPLY.

• The graph of g is a vertical translation 3 units up of the graph of f

• The graph of g is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

The red graph is a translation of the black graph (y = f(x)). What is the equation of the red graph?

• y = f(x + 1) + 2

• y = f(x - 1) +2

• y = f(x + 2) +1

• y = f(x -1) -2

Answer explanation

Each point is translated right one and up 2.

g(x) is translated (a)   5 units f(x) is translated ​ (b)   2 units a(x) is translated ​ (c)   7 units h(x) is translated ​ (d)   3 units

• left

• down

• right

• up

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