the graph of g(x) is a translation of y = 3 square root of x
which equation represents g(x)?

g(x) = 3 square root of x-4
g(x) = 3 square root of x+4
g(x) = 3 square root of x+1.5
g(x) = 3 square root of x-1.5

1.

Step-by-step explanation:

The figure shows the graph of the function translated 4 units to the right.

Translation the graph of the function f(x) a units to the right form the function .

Hence, the equation of the function g(x) is

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.