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1. Describe the two transformations that occur to the parent function f(x)=√x when transformed to the function g(x)=2√x+3.

2. Then, describe the domain and range of g(x). (You may use Interval Notation or Words)

Respuesta :

wegnerkolmp2741o

Answer:

1.  This stretches  the function in the y direction by 2 and moves the function up 3 units

2.  Domain :  all real numbers greater than or equal to zero

{x ∈ R : x>=0}

Range :  all real numbers greater than or equal to three

{y ∈ R : g>=3}

Step-by-step explanation:

f(x) = sqrt(x)

g(x) = 2 sqrt(x)

This stretches  the function in the y direction by 2

h(x) = 2 sqrt(x) +3  moves the function up 3 units

2.  The domain is the input values

2 sqrt(x) +3  this is limited by sqrt (x)  so x>=0

Range  is the output values  so sqrt(x) must be o or positive

The minimum is 0+3

y >=3

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