Problem

4. Write the transformed equation if $f(x)=x^{2}$ undergoes the following transformation: a vertical stretch of factor 3, shifted down 6 units, reflected in the $x$-axis and shifted to the left 2 units.

Answer

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Answer

f(x) = -3(x+2)^2 - 6

Steps

Step 1 :f(x) = x^2

Step 2 :f(x) = 3x^2

Step 3 :f(x) = -3x^2

Step 4 :f(x) = -3x^2 - 6

Step 5 :f(x) = -3(x+2)^2 - 6

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