Question

Worth 90 points please help

Answer 1

D"'E"'F"' equals (1,8), (1,0), and (-3,7).

Explanation:

You rotate DEF 90 degrees, which gets you to D' equaling (-2,5), E' equaling (-2,0), and F' equaling (-6,4). Then, you translate D'E'F' 5 units to the right which gets you to D" equaling (3,10), E" equaling (3,0), and F" equaling (-1,9). From there, you must translate D"E"F" 2 units down which gets you to D"' equaling (1,8), E"' equaling (1,0), and F"' equaling (-3,7).

Answer 2

Explanation:

Remark

Before you do any translations, you have to get the beginning coordinates. Also you have to keep in mind what you are moving. Are you moving points or are you moving a function. In this case you are moving points. They obey rules that are more in line with your intuition.

Starting points

These are just read from the graph.

• D (-5,-2)
• E (0 , -2)
• F (-4 , - 6)

Translate 90o clockwise.

The general rule is to start with (x, y) and translate to (y, - x)

Vertex Start Rotation

• D' (-5, - 2) (-2, 5)
• E' (0 , - 2) (-2, 0)
• F' (-4,- 6) (-6, 4)

Note: x and y are interchanged. Notice that when y becomes - x that a minus sign is put in front of any x value you are working with.

Translate 5 units right.

When you move to the right, the y value is not changed and the x value gets 5 added to it.

Vertex Start Move Right

• D" (-2,5) (3,5)
• E" (-2,0) (3,0)
• F" (-6,4) (-1,4)

Translate 2 down

When you translate 2 down the y value has two subtracted from it.

Vertex Start Move down

• D"' (3,5) (3, 3)
• E"' (3,0) (3, -2)
• F"' (-1,4) (-1,2)