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Vitek1552 [10]
3 years ago
13

Which transformation will occur if f(x)=x is replaced with f(x) +5

Mathematics
1 answer:
zimovet [89]3 years ago
7 0

Answer:

Parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.

Step-by-step explanation:

<u>Vertical translation of f(x) is of the form</u>

f(x)+k

It means if the constant 'k' is added in the output, the parent graph vertically shifted 'k' units up.

Given

f(x)=x

Replacing the parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.

Please also check the attached diagram.

  • The red graph shows the parent function i.e. f(x)=x
  • The blue graph shows the transformed function i.e. f(x)+5

The blue graph is the result of the vertically shifting of the parent function by 5 units up.

Hence, parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.

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