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Explanation:</h2><h2>
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Here we have the following rational function:

So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:

Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:
Step 1. Shift the graph 3 units to the left:

Step 2. Shift the graph 2 units down:

Finally, the features of the graph of f are:
The graph of this function comes from the parent function g and the transformations are:
- A shifting 3 units to the left
Answer:
A. 1:8
Step-by-step explanation:
We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.
Dogs: 8
Cat: 2
Fish: 4
Lizard: 2
We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.
Let us find total number of animal by adding each type of animals as:


We can see that the students saw 2 cats, so ratio of cats to total animals would be
.
Dividing 2 and 16 by 2, we will get:

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.
Answer:
x = 78º
y = 35º
Step-by-step explanation:
These are isosceles triangles
two angles are congruent
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x + 51 + 51 = 180
x = 180 - 102
x = 78º
y + y + 110 = 180
2y = 70
y = 35º
A, the first one is a solution