alyssams2809 alyssams2809
  • 24-02-2021
  • Mathematics
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Identify the change in the parent function that will produce the related function shown as a dashed line

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MrRoyal
MrRoyal MrRoyal
  • 27-02-2021

Answer:

Translate 2 units upward

[tex]g(x) = \sqrt{x} + 2[/tex]

Step-by-step explanation:

See attachment for the functions

[tex]f(x) = \sqrt x[/tex]

Required

Determine the change in f(x) that gives the dashed line

From the attachment, there is only one transformation from f(x) to the dashed line.

The transformation is a translation of 2 units, upward.

Let the dashed line be g(x)

g(x) will be:

[tex]g(x) = f(x) + 2[/tex]

Substitute [tex]\sqrt x[/tex] for f(x)

[tex]g(x) = \sqrt{x} + 2[/tex]

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