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If you vertically stretch the square root parent function, F(x)= square roor x, by 7 units, what is the equation of the new function?

Sagot :

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.

What is a scale factor?

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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