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Virty [35]
3 years ago
14

How is the vertex related to the maximum or minimum of a parabola?

Mathematics
2 answers:
USPshnik [31]3 years ago
7 0

Answer:

Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.

Step-by-step explanation:

Alinara [238K]3 years ago
3 0

The y coordinate of the vertex tells you the highest or lowest point, depending on whether the parabola opens downward or upward.

For something like y = -2(x-5)^2 + 10, it opens downward and has the vertex at (5,10). The highest point is (5,10) so the largest y value or output is y = 10. This is the maximum of the function. Note the value of 'a' is a = -2 which is negative. Also note the vertex form y = a(x-h)^2 + k with vertex (h,k).

For an example like y = 7(x+2)^2 - 8 we have a = 7 so the parabola opens upward meaning we'll have a minimum this time. The lowest point is the vertex (h,k) = (-2,-8). The minimum of the function is y = -8.

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vladimir2022 [97]

Answer:

x = 0

Step-by-step explanation:

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aksik [14]

Answer:

150 miles

Step-by-step explanation:

In this problem, we are only interested in the distance that Lauren drove, this means that her average speed (75 mph to the cost, and 25 mph on the way back) does not matter since the distance remains the same. If one leg of trip is 75 miles long, the total mileage for the round trip is:

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3 years ago
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Answer:

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Step-by-step explanation:

if \sec x = \frac{4}{3}, then that means that it is the angle of a right triangle with the hypotenuse equal to 4 and one of the legs (specifically the adjacent leg) equal to 3, since sec(x) is defined as hypotenuse over the adjacent side.

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3 years ago
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