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What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
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∙ 11y ago
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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 13 percent and 18 percent combined?
31% or 2.34% depending on whether "combined" is additive or multiplicative.31% or 2.34% depending on whether "combined" is additive or multiplicative.31% or 2.34% depending on whether "combined" is additive or multiplicative.31% or 2.34% depending on whether "combined" is additive or multiplicative.
Is a minimum a positive or negative?
It depends on whether or not what you are measuring is good or bad. Most people would say that minimum pain is positive or that minimum happiness is negative.
How are the vertices of the parabolas related to the equation of the quadratic function?
Suppose the equation of the parabola is y = ax2 + bx + c where a, b, and c are constants, and a ≠0. The roots of the parabola are given by x = [-b ± sqrt(D)]/2a where D is the discriminant. Rather than solve explicitly for the coordinates of the vertex, note that the vertical line through the vertex is an axis of symmetry for the parabola. The two roots are symmetrical about x = -b/2a so, whatever the value of D and whether or not the parabola has real roots, the x coordinate of the vertex is -b/2a. It is simplest to substitute this value for x in the equation of the parabola to find the y-coordinate of the vertex, which is c - b2/2a.
If your 18 now what year are you born in?
either 1991 or 1992 depending on whether they just turned it or whether they will turn 19 this same year
The maximum or minimum of a parabola depending on whether the parabola opens up or down?
A parabola opening up has a minimum, while a parabola opening down has a maximum.
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.
