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Identify the translations of the parent function f(x) = x2 that give g(x) = (x − 5)2 − 4.

A. up 4 units, left 5 units
B. up 4 units, right 5 units
C. down 4 units, left 5 units
D. down 4 units, right 5 units

2 Answers

2 votes

Answer: D

Explanation:

User Aliteralmind
by
8.1k points
4 votes

Answer:

D

Explanation:

g(x)= (x-5)^2 -4

Now we know that it is down 4 units because -4 means the y axis translate down 4

Meanwhile, the graph actually translates to the right 5 units. This is because to get the vertex what value must will get you there

x-5=0

x=5

So 5 or at 5,-4 would be the vertex

User Alex Rothberg
by
7.5k points

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