Determine the equation of the quadratic function with vertex (4, 5) and passing through the point (-2, – 31)

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Step-by-step explanation:

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The coordinates of F' are (-6,-6).

Step-by-step explanation:

Given a hexagon DEFGHI is translated 8 units down and 3 units to the right.

8 units translated down means move 8 units down on the negative y-axis.

3 units right mean move 3 units towards right on x-axis.

The coordinates of point F are (-9,2),

The coordinates of point F' are

x=-9+3=-6

Because 3 units move towards right on positive x-axis.

y=2-8=-6

Because 8 units move down on the negative y-axis.

Hence, the coordinates of F' are (-6,-6).