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ARE YOU GOOD AT ALGEBRA? PLS HELP. INDICATE ALL TRANSFORMATIONS AND JUSTIFY EACH ONE!

ARE YOU GOOD AT ALGEBRA? PLS HELP. INDICATE ALL TRANSFORMATIONS AND JUSTIFY EACH ONE-example-1

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Answer:

See explanation

Explanation:

f(x)=|x|

f(x) ==> f(x+3): translation of function 3 units to the left, f(x-3) would be translation 3 units right

f(x+3) ==> 3f(x+3): vertical stretch by a factor of 3

f(x+3) ==> -3f(x+3): Reflection over the x-axis, since y value changes over the x-axis while x value changes over the y-axis

-3f(x+3) ==> h(x)=-3f(x+3)+1: Translation one unit up.

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