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Which function represents a horizontal translation of 55 units right and a vertical translation of 44 units up from the graph of ๐‘“(๐‘ฅ)=|๐‘ฅ|๐‘“(๐‘ฅ)=|๐‘ฅ|?Question 7Select one:a.๐‘”(๐‘ฅ)=|๐‘ฅ+5|+4๐‘”(๐‘ฅ)=|๐‘ฅ+5|+4b.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’4|โˆ’5๐‘”(๐‘ฅ)=|๐‘ฅโˆ’4|โˆ’5c.๐‘”(๐‘ฅ)=|๐‘ฅ+4|+5๐‘”(๐‘ฅ)=|๐‘ฅ+4|+5d.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’5|โˆ’4๐‘”(๐‘ฅ)=|๐‘ฅโˆ’5|โˆ’4e.๐‘”(๐‘ฅ)=|๐‘ฅ+5|โˆ’4๐‘”(๐‘ฅ)=|๐‘ฅ+5|โˆ’4f.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’5|+4

Question

Which function represents a horizontal translation of 55 units right and a vertical translation of 44 units up from the graph of ๐‘“(๐‘ฅ)=|๐‘ฅ|๐‘“(๐‘ฅ)=|๐‘ฅ|?Question 7Select one:a.๐‘”(๐‘ฅ)=|๐‘ฅ+5|+4๐‘”(๐‘ฅ)=|๐‘ฅ+5|+4b.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’4|โˆ’5๐‘”(๐‘ฅ)=|๐‘ฅโˆ’4|โˆ’5c.๐‘”(๐‘ฅ)=|๐‘ฅ+4|+5๐‘”(๐‘ฅ)=|๐‘ฅ+4|+5d.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’5|โˆ’4๐‘”(๐‘ฅ)=|๐‘ฅโˆ’5|โˆ’4e.๐‘”(๐‘ฅ)=|๐‘ฅ+5|โˆ’4๐‘”(๐‘ฅ)=|๐‘ฅ+5|โˆ’4f.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’5|+4

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Solution

The question seems to have a typo. You mentioned a horizontal translation of 55 units and a vertical translation of 44 units, but the options provided do not reflect these values.

However, if we consider a horizontal translation of 5 units and a vertical translation of 4 units, the correct answer would be:

f. ๐‘”(๐‘ฅ)=|๐‘ฅโˆ’5|+4

This is because a horizontal shift to the right is represented by a subtraction in the function (x - 5) and a vertical shift upwards is represented by an addition (+4).

This problem has been solved

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