Answered

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Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at the origin what are the coordinates of h

Sagot :

MrRoyal

Answer:

Rule:

[tex]h = (1 - y,x + 3)[/tex]

Step-by-step explanation:

I will answer generally, since the coordinates of f, g and h are not given

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

Determine the new coordinates

At the first translation of (x,y) by x + 3, y - 1

The new point is: [tex](x + 3, y - 1)[/tex]

At the second translation (90 degrees counterclockwise)

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

[tex]h = (-(y - 1),x + 3)[/tex]

[tex]h = (1 - y,x + 3)[/tex]

If the initial point of h is (2,3),

The new point is:

[tex]h = (1 - 3, 2 + 3)[/tex]

[tex]h = (- 2, 5)[/tex]

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