10-2 Transformations Review

Example 1 & 2

100

Describe the translation: g(x)=(x - 1)²

Move the graph 1 unit right. 

200

Describe the translation: g(x)=x² - 8

Move the graph down 8 units 

300

Describe the translation: g(x)= x² + 2

Move the graph 2 units up 

400

Describe the translation: g(x)=(x + 2.5)²

Move the graph 2.5 units to the left

500

Describe the translation: g(x)= x² - 9.5 

Move the graph down 9.5 

Example 3

100

Describe the dilation: g(x)=(4x)²

Horizontal compression

200

Describe the dilation: g(x)=5x²

Vertical stretch

300

Describe the dilation: g(x)=(1/2x)²

Horizontal stretch 

400

Describe the dilation: g(x)=3/4x²

Vertical compression

500

Describe the dilation: g(x)=(7/8x)²

Horizontal stretch 

Example 4

100

Describe how the graph of each function is related to the graph of the parent function: g(x)=-6x²

reflection across the x-axis with a vertical stretch 

200

Describe how the graph of each function is related to the graph of the parent function: g(x)=(-9x)²

reflection across the y-axis with a horizontal compression

300

Describe how the graph of each function is related to the graph of the parent function: g(x)=-1/3x²

a reflection across the x-axis with a vertical compression

400

Describe how the graph of each function is related to the graph of the parent function: g(x)=(-2/3x)²

Reflection across the y-axis with a horizontal stretch

500

Describe how the graph of each function is related to the graph of the parent function: g(x)=-2x²

reflection across the x-axis with a vertical stretch

Example 5

100

Describe how the graph of each function is related to the graph of the parent function: g(x)=2(x - 3)² + 8

The graph has a Vertical stretch, that was moved 3 units to the right, and 8 units up 

200

Describe how the graph of each function is related to the graph of the parent function: g(x)= -x² + 3

Reflection across the x-axis and 3 units up 

300

Describe how the graph of each function is related to the graph of the parent function: g(x)=-(x - 4)² + 1

reflection across the x-axis, moved 4 units right, and 1 unit up

400

Describe how the graph of each function is related to the graph of the parent function: g(x)=3x² - 7

Vertical stretch, move 7 units down 

500

Describe how the graph of each function is related to the graph of the parent function: g(x)= -1/2(x - 3)² - 2

reflection across the x-axis with a vertical compression, move 3 units right, and 2 units down 

Mixed Practice

100

Describe the transformation:

h(x) = (-1/2x)² + 2

reflection across the y-axis with a horizontal stretch and move up 2.

200

Describe the transformation:

f(x) = 2x² - 2

Vertical stretch and move down 2

300

Describe the transformation:

h(x)= -2(x + 2) +2 

Reflection across the x-axis with a vertical stretch, move 2 units left and 2 units up. 

400

Describe the transformation: 

g(x) = (1/2x)² - 3

Horizontal stretch and then move down 3 

500

Describe the transformation:

h(x)= -1/4(x - 1)² + 4

reflection across x-axis with a vertical compression, move right 1 and up 4.