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Which of the following functions transfo...

Which of the following functions transforms y=f(x) moving it 5 units to the right?

A

y=f(x+5)

B

y=f(x-5)

C

y=f(x)+5

D

y=f(x)-5

Text Solution

AI Generated Solution

To determine which function transforms \( y = f(x) \) by moving it 5 units to the right, we need to understand how horizontal transformations work in function notation. ### Step-by-Step Solution: 1. **Understanding Horizontal Shifts**: - A horizontal shift to the right by \( a \) units means that we need to replace \( x \) in the function with \( x - a \). This is because we want to shift the graph to the right, which effectively means we are evaluating the function at a smaller \( x \) value. 2. **Applying the Shift**: ...
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Knowledge Check

  • For which of the following functions does f(x) f(2 - x) ?

    A
    `f(x) = x + 2`
    B
    `f(x) = 2x - x^2`
    C
    `f(x) = 2 - x`
    D
    `f(x) = (2 - x)^(2)`

  • The graph of f(x) is shown below : A transformation is applied that results in the following graph : Which of the following functions describes this graph ?

    A
    f(x-1)
    B
    f(x+1)
    C
    f(x)-1
    D
    f(x)+1

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