Question

Which function results after applying the sequence of transformations to
f(x) = x^5?
• stretch vertically by 3
• translate up 1 unit
• translate left 2 units
​

Answer 1

Answer:

The resulting function after the sequence of transformations is  $f(x)=3(x+2)^5+1$

Step-by-step explanation:

Given a function f(x)

• the function a*f(x) will be a vertical stretch of factor a,  given a > 1
• the function f(x) + b will be the translated function vertically up b units
• the function f(x+c) will be horizontally translated function of the original by c units left

Remembering these points, we can apply the rules to $x^5$.

• Strech vertically by 3 would be $3x^5$
• translate up 1 unit would be $3x^{5}+1$
• translate left 2 units would make it $3(x+2)^5+1$

Hence the new function would be  $3(x+2)^5+1$

Answer 2

Answer:

f(x) = 3(x+2)⁵+1

Step-by-step explanation:

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