Parent Graph Translations and Dilations

• Vertical Stretch by a factor of 4

• Horizontal Compression by a factor of 1/4

• Horizontal Translation right 4

• Vertical Translation down 4

• Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3

• y=2^x+3

• y=2^x+3

• y=2^x-3

• Horizontal translation 3 units left

• Horizontal translation 3 units right

• Vertical translation 3 units down

• Vertical translation 3 units up

Answer explanation

The + 3 is outside the absolute value bars, so that indicated a VERTICAL change. Because it is after the absolute value, it translates up 3 units.

Tags

2a.6c

• Horizontal translation 45 units left

• Horizontal translation 45 units right

• Vertical translation 45 units down

• Vertical translation 45 units up

Answer explanation

The - 45 is inside the absolute value bars. Since it is after the x, it moves right 45 units.

REMEMBER: Anything horizontal is the opposite of what you might think.

Tags

2a.6c

Tags

2a.6c

Write an absolute value function, g(x), given the following transformations from the parent function: Reflection across the x-axis Horizontal shift right 2 units Vertical shift down 7 units

Write an absolute value function, g(x), given the following transformations from the parent function:
--Vertical compression by a factor of 1/9

Write the equation, g(x), for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

• g(x)=6|x|-2/5

• g(x)=2/5|x|+6

• g(x)=2/5|x+6|

• g(x)=2/5|x-6|

Where would A' be if you translated A 3 units to the right and 4 units down?

• (-4, 4)

• (-1, 0)

• (0, -1)