Answer:

Step-by-step explanation:
Step one:
given data
3,700 mile
In scienctific notation or in standard form 3,700 mile is expressed as

Ok. he jogs 10 laps in a day and each lap is 40 m so 10 times 40 is 400
he jogs 400 meters in a day then multiply that by 5 for the week
400 times 5 is 2000
he jogs 2000 meters each week
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function
</u>
The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:

We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:

Thus if we add and subtract 1:

Operating:

The trinomial in parentheses is a perfect square:

Adding 4:

Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).
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