The translations are reflection across the x-axis, moved 3 units right, moved 5 units down
<u>Step-by-step explanation:</u>
If we reflect a function across the x- axis then y = f(x) becomes y = -f(x)
So it becomes 
In the given function, there is a horizontal shift, moved 3 units right, then
it becomes, 
In this given function, there is a vertical downward shift of 5 units , so it becomes, that is moved 5 units down, then the function becomes,
Let's make an equation.
x+y+z=72
X will be the smallest number. Since they are consecutive, one number is one greater and the other is two greater. Let's make equation for y and z.
x+1=y; the middle number.
x+2=z; the greatest number.
Let's plug these in the equation.
x+x+1+x+2=72
Let's add like terms.
3x+3=72
Subtract 3.
3x=69
Now divide.
69÷3=23
So, the smallest number is 23. So, it must be set a. Let's check.
23+24=47+25=72
So, set a is the correct answer.
Answer:
10,500
Step-by-step explanation:
Answer:
1320
Step-by-step explanation:
Use the formula for sum of series, s(a) = n/2(2a + (n-1)d)
The terms increase by 6, so d is 6
a is the first term, -56
n is the terms you want to find, 33
Plug in the numbers, 33/2 (2(-56)+(32)6)
Simplify into 33(80)/2 and you get 1320
