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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: 14⅝ hiurs
Step-by-step explanation:
Based on the information given in the question, we can form an equation which will be:
8 + 6h = 125
where, h = number of hours
6h = 125 - 8
6h = 117
h = 117/8
h = 14 ⅝hours
Therefore, minimum amount of hours he will need to walk the dog in order for him to buy a new pair of Jordans is 14⅝ hours.
Answer:
f(x)=(x−3)2−5
Find the properties of the given parabola.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
Select a few x
values, and plug them into the equation to find the corresponding y values. The x
values should be selected around the vertex.
x y
1 -1
2 -4
3 -5
4 -4
5 -1
Graph the parabola using its properties and the selected points.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
x y
1 -1
2 -4
3 -5
4 -4
5 -1
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
<h3>What is the linear function which is as described?</h3>
It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
Read more on linear functions;
brainly.com/question/15602982
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Answer:
x^4/21
Step-by-step explanation: