We are given the following function:

We are asked to do the following tranformations:
1. Shift down 5 units and left 77 units.
First, to shift a function down a number "n" of units we follow the next rule:

And, to shift a function "m" units to the left we use the following rule:

Applying both rules simultaneously we get:

2. Reflect about the y-axis.
The rule to reflect a function about the y-axis is the following:

The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:

3. Compress vertically by a factor of 2.
To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:

Applying the rule we get:

And thus we get to the final function.
Answer:
x^2+5x-14=0
Step-by-step explanation:
(x+7)(x-2)=0
x (x-2)+7 (x-2)=0
x^2-2x+7x-14=0
x^2+5x-14=0
43.68. You multiply the base by the height
Answer:
a)20$
b)46,1$
c)0,3336
d)No concerns
Step-by-step explanation:
A) To find expected difference of cost of medical care for dogs and cats we can simply subtract average costs of cats and dogs.

Expected difference will be 20$.
B) To find the standard deviation of that difference, we need to square deviations and add them and square root it again.

Expected difference will be 46,1$.
C)We need to find the Z value to find the probability of more expensive dogs than cats in a Vet vise.
Z value of the function is -0,434
From the Z table that you can find at the attachment. The probability is %33,36 or 0,3336
D) This is a subjective part. I don't have any concerns