Answer:
g(x) = 7√x
Step-by-step explanation:
Parent function: f(x) = √x
Parent function vertically stretched by a factor of 7: g(x) = 7√x
The equation of the new function is 7√x.
Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.
For the given situation,
The equation is F(x) = √x
The parent function is vertically stretched by 7 units.
So, the new function is
⇒ [tex]7(\sqrt{x} )[/tex]
⇒ [tex]7\sqrt{x}[/tex]
Hence we can conclude that the equation of the new function is 7√x.
Learn more about scale factor here
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