In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted?

down 5, left pi over 2
up 5, left pi over 2
down 5, right pi over 2
up 5, right pi over 2

Option 1 is correct.

Step-by-step explanation:

Given graph of f(x)=6 sin(2x + π) - 5

we have to tell in what direction the graph vertically and horizontally shifted.

As, f(x+1) is a change on the inside of function, giving a horizontal shift left by 1, and the subtraction by 3 in f(x+1)-3 is a change to the outside of function, giving a vertical shift down by 3.

Hence, the graph of f(x)=6sin(2x + π) - 5  

Here, change on the inside of function, giving a horizontal shift left by , and subtraction by 5 in function is a change to the outside of function, giving a vertical shift down by 5.

Option 1 is correct.

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.