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jakobrobinette
21.07.2022 •
Mathematics
2. In factored form, a quadratic function can be written as y = (-2-x) (x-8). This parabola goes through the points (-2, 0) and (8, 0). Use your knowledge of the symmetry of the parabola to find the vertex. Show all work. 4 mark
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Ответ:
(3, 25)
Step-by-step explanation:
The symmetry of a parabola means that if you have two y coordinates which are the same, the axis of symmetry is going to be in the middle of the x-coordinates. So in this case it's the middle number of -2 and 8. So to find the midpoint of these two numbers, you simply add them together and divide it by 2. This gives you the equation:
. This means that the axis of symmetry is at:
, and as you may know, this axis of symmetry passes through the vertex. So this means the x-axis of the vertex is 3, so to find the y-value simply plug in 3 as x
y = (-2-3)(3-8)
y = (-5)(-5)
y = 25
So this means the vertex is at (3, 25)
Ответ:
Option B) is a continuous probability distribution
Step-by-step explanation:
Properties of a normal probability distribution:
The mean, mode and median of the data is same.It is a continuous probability distribution.The area under the curve is 1.The probability that any random variable X at a particular value is zero.Thus, from the properties of normal distribution, the correct answer is:
Option B) is a continuous probability distribution