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Which phrase best describes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 – 2?
O
6 units left and 9 units down
6 units right and 9 units down
6 units left and 9 units up
6 units right and 9 units up
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calculista

Answer:

6 units left and 9 units down

Step-by-step explanation:

we have that

[tex]y=(x-5)^{2} +7[/tex]

This is a vertical parabola open upward

The vertex is the point (5,7)

[tex]y=(x+1)^{2} -2[/tex]

This is a vertical parabola open upward

The vertex is the point (-1,-2)

so

The transformation of

(5,7) ------> (-1,-2)

has the following rule

(x,y) -----> (x-6,y-9)

That means ----> The translation is 6 units at left and 9 units down

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