The function f(x)=x^2+5x-6 is shifted 4 units to the left to create g(x). What is g(x)

Step-by-step explanation:

We are given the function:

It is shifted 4 units left to create g(x), and we want to determine the equation of g.

Recall that to shift a function horizontally, we add a constant k to the function. k is the horizontal translation. That is:

Since we are shifting four units left, k = -4:

Find f(x + 4):

In conclusion:

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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step-by-step explanation: