Explain why the graph of quadratic function could not contain both a minimum vertex and a maximum vertex at the same time.
1 answer:
A quadratic function is a function of the form 
. The vertex, 
of a quadratic function is determined by the formula: 
and 
; where 
is the x-coordinate of the vertex and 
is the y-coordinate of the vertex. The value of 
determines if the <span>parabola opens upward or downward; if</span> is positive, the parabola<span> opens upward and the vertex is the minimum value, but if </span> is negative <span>the graph opens downward and the vertex is the maximum value. Since the quadratic function only has one vertex, it </span><span>could not contain both a minimum vertex and a maximum vertex at the same time.</span>
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Answer:
126
One two six
126
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Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>From the problem, we know the following data of the problem:
- Laval parked at the beach.
- Laval paid a fixed price of $4 for a pass.
- Laval paid $1.50 for each hour.
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:
Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:
Finally, we can write total cost (C) as the sum of these two expressions:
Finally, our correct option is A:
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:
Finally, he spent 5 hours at the beach