Question

Can someone please help me I will mark u brilliant

Answer 1

Answer:
`(\text{x}, \text{y}) \to (\text{x}+9, \text{y}+6)`

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Step-by-step explanation:

Preimage Point F has an x coordinate of x = -7

Image Point F' has an x coordinate of x = 2

This is a jump of +9, so the x rule is
`\text{x} \to \text{x}+9`

Whatever the old x coordinate is, add 9 to it to get the new x coordinate.

This shifts the point 9 units to the right.

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Meanwhile, the preimage point F has a y coordinate of -5

Its image point F' has a y coordinate of 1

This is an increase of +6, so we have
`\text{y} \to \text{y}+6`

This shifts the point up 6 units.

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We have
`\text{x}\to \text{x}+9` to shift the point 9 units right, and
`\text{y}\to \text{y}+6` to shift the point 6 units up.

Overall the rule is
`(\text{x}, \text{y})\to (\text{x}+9, \text{y}+6)` to combine both translations together.

Lets try it out on point G

`G = (-6, -1)\\\\(\text{x}, \text{y}) \to (\text{x}+9, \text{y}+6)\\\\(-6,-1) \to (-6+9, -1+6)\\\\(-6,-1) \to (3, 5)\\\\G' = (3, 5)`

This matches what the graph shows. Therefore, the rule is confirmed for point G. I'll let you check the other points.