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A parabola opening up has a minimum, while a parabola opening down has a maximum.

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Q: The maximum or minimum of a parabola depending on whether the parabola opens up or down?
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Determine whether the parabola y equals -x2 plus 15x plus 8 opens up down left or right?

when you have y=+/-x2 +whatever, the parabola opens up y=-(x2 +whatever), the parabola opens down x=+/-y2 +whatever, the parabola opens right x=-(y2 +whatever), the parabola opens left so, your answer is up


Is depth in water a negative number?

If measuring from sea level, yes. Technically, though, it is accurate to state depth as a negative number, but unless you have been specifically told, it shouldn't matter whether you do or not. The only exception I can think of is if you are drawing a parabola that shows the depth of a buoyant object over a period of time after being thrown or dropped in. It looks a lot neater to show a positive parabola, as a negative parabola could imply that a non-buoyant object was thrown from the bottom of a body of water. I hope this helped, and ignore the previous paragraph if you want.


What is the equation for the axis of symmetry of the quadratic function f(x) 3x2 12x - 2?

It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.


How many minimum number of cuts required to get 343 pieces?

The answer depends on whether you start off with a open ended object like a strip of paper of a length of fabric, or a closed object like a loop of paper or a doughnut. The answer also depends on whether you can stack pieces that you have already cut for the next cut. For an open ended object and no stacking, you will need 342 cuts.


What is the square root of 16x squared?

If you square an expression and then take the square root, the squaring and the square root cancel one another, EXCEPT that the sign will be positive. Thus, if you square 16x, and then take the square root, the answer can be 16x or -16x, depending on whether "x" is positive or negative. Or if you only square x, and then take the square root of the entire expression, it would be 4x or -4x (once again, depending on whether "x" is positive or negative).

Related questions

What is maximum or minimum of a parabola depending on whether the parabola opens up or down?

Vertex


How far away is Saturn form the sun in km?

Between 1.35 billion to 1.5 billion kms away...depending on whether you want minimum or maximum, respectively.


How will you describe the graph of a function?

· whether it is linear, quadratic or exponential · whether it has an upper or lower bound · whether it has a minimum or a maximum value · whether it is constant, decreasing or increasing


How do you know if a point is a maximum or a minimum?

Usually at the minimum or maximum of a function, one of the following conditions arises:The derivative is zero.The derivative is undefined.The point is at the end-points of the domain that is being considered (or of the naturally-defined domain, for example, zero for the square root).This will give you "candidate points"; to find out whether each of these candidate points actually is a maximum or a minimum, additional analysis is required. For example, if the second derivative is positive, you have a minimum, if the second derivative is negative, you have a maximum - but if it is zero, it may be a maximum, a minimum, or neither.


Determine whether the parabola y equals -x2 plus 15x plus 8 opens up down left or right?

when you have y=+/-x2 +whatever, the parabola opens up y=-(x2 +whatever), the parabola opens down x=+/-y2 +whatever, the parabola opens right x=-(y2 +whatever), the parabola opens left so, your answer is up


What is the range of the equation y equals x2 plus 4?

This equation describes a parabola, so it's range on the x-axis will be infinite. To find it's vertex, we can take it's derivative and solve for zero: y = x2 + 4 y' = 2x Let y' = 0 0 = 2x x = 0 Now we plug that x value into the original equation to find y: y = 02 + 4 y = 4 So the vertex is at the point (0, 4). To see whether that's a minimum or a maximum, we need only take it's second derivative and check whether it's positive or negative at that point: y' = 2x y'' = 2 So the rate of change of the slope is positive, which means that the parabola's vertex is a minimum. We can say then that the equation has an infinite x range, and a y range from 4 to infinity.


What is minimum and maximum frequency of have a sex intercourse in a day or nigth?

That depends on a number of factors. First of all, whether the male has an orgasm every time. Secondly, whether the sex lasts very long per session or not. There's more ofcource. But assuming the 'regular' for all variables, if you have a day off and no disturbances, 5 to 7 times should be very well achievable depending on sex drive and such. 12 times should be doable in a day, but take the male 'cooldown period' into consideration. Lastly, the minimum is zero.


What is the legal maximum capacity for shotguns per atf guides?

http://www.atf.gov/ - This is the BAFTE website. You can research there. Depending on whether you are talking domestic made or import, the answer will vary.


If I travel 35 to 50 miles per hour in 68.1 hours, How many miles have I driven?

To find out how many miles you have driven, you can use the formula: Distance = Speed × Time Given that you're traveling between 35 to 50 miles per hour and you've driven for 68.1 hours, we'll calculate the distance for both the minimum and maximum speeds: For minimum speed (35 miles per hour): Distance = 35 miles/hour × 68.1 hours For maximum speed (50 miles per hour): Distance = 50 miles/hour × 68.1 hours Let's calculate: For minimum speed: Distance = 35 miles/hour × 68.1 hours = 2383.5 miles For maximum speed: Distance = 50 miles/hour × 68.1 hours = 3405 miles So, you have driven between 2383.5 miles and 3405 miles, depending on whether you were traveling at the minimum or maximum speed.


Definition for decision models and decision variables?

Decision variables are the variables within a model that one can control. They are not random variables. For example, a decision variable might be: whether to vaccinate a population (TRUE or FALSE); the amount of budget to spend (a continuous variable between some minimum and maximum); or how many cars to have in a car pool (a discrete variable between some minimum and maximum).


What equation describes a parabola that opens up or down and whose vertex at the point (hv)?

This is called the 'standard form' for the equation of a parabola:y =a (x-h)2+vDepending on whether the constant a is positive or negative, the parabola will open up or down.


When talking about sub zero temperatures do you say up to or down to?

If talking about a minimum temperature one says down toregardless of whether the temperature is above or below freezing. If talking about a maximum one says up to.