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What is the effect on the graph of the function f(x)=4x๐‘“(๐‘ฅ)=4๐‘ฅ when f(x)๐‘“(๐‘ฅ) is replaced with f(x+5)๐‘“(๐‘ฅ+5)?Question 9Select one:Translate vertically 5 units up.Translate vertically 5 units down.Translate horizontally 5 units right.Translate horizontally 5 units left.

Question

What is the effect on the graph of the function f(x)=4x๐‘“(๐‘ฅ)=4๐‘ฅ when f(x)๐‘“(๐‘ฅ) is replaced with f(x+5)๐‘“(๐‘ฅ+5)?Question 9Select one:Translate vertically 5 units up.Translate vertically 5 units down.Translate horizontally 5 units right.Translate horizontally 5 units left.

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Solution

The graph of the function f(x)=4x when replaced with f(x+5) will translate horizontally 5 units to the left.

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What is the effect on the graph of the function f(x)=4x๐‘“(๐‘ฅ)=4๐‘ฅ when f(x)๐‘“(๐‘ฅ) is replaced with f(xโˆ’2)๐‘“(๐‘ฅโˆ’2)?Question 18Select one:Translate horizontally 2 units right.Translate horizontally 2 units left.Translate vertically 2 units up.Translate vertically 2 units down.

What is the effect on the graph of ๐‘“(๐‘ฅ)=1๐‘ฅf(x)= x1โ€‹ when it is transformed to ๐‘”(๐‘ฅ)=1๐‘ฅโˆ’10g(x)= x1โ€‹ โˆ’10?A.The graph of f(x) is shifted 10 units to the left.B.The graph of f(x) is shifted 10 units down.C.The graph of f(x) is shifted 10 units up.D.The graph of f(x) is shifted 10 units to the right.SUBMITarrow_backPREVIOUS

Instructions: Based on the information given in the problem, select the accurate transformation.What is the effect on the graph of the function f(x)=4(3)x๐‘“(๐‘ฅ)=4(3)๐‘ฅ when f(x)๐‘“(๐‘ฅ) is replaced with f(x)+7๐‘“(๐‘ฅ)+7?Translate Answer 1 Question 7 77 units Answer 2 Question 7CheckQuestion 7

Compare the graph of the function ๐‘”(๐‘ฅ)=|๐‘ฅโˆ’1|+5๐‘”(๐‘ฅ)=|๐‘ฅโˆ’1|+5 to the graph of its parent function, ๐‘“(๐‘ฅ)=|๐‘ฅ|๐‘“(๐‘ฅ)=|๐‘ฅ|.Select all statements that apply to the transformation of ๐‘“(๐‘ฅ)๐‘“(๐‘ฅ) to ๐‘”(๐‘ฅ)๐‘”(๐‘ฅ).Question 8Select one or more:a.Vertical translation, down 55 unitsb.Vertical translation, up 55 unitsc.Vertical translation, down 11 unitd.Vertical translation, up 11 unite.Horizontal translation, left 55 unitsf.Horizontal translation, right 55 unitsg.Horizontal translation, left 11 unith.Horizontal translation, right 11 unit

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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