The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
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If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
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An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
Answer:
76
Step-by-step explanation:
okay so 13=13 d = t
13×d = t
13×6 = 76
Answer:
8 am Monday
Step-by-step explanation:
The difference between the two watches is 2+1= 3 minutes.
It would take 60/3 = 20 hours to have a difference of 60 minutes.
From noon Sunday it would be more 20 hours the earliest time there would be a difference of one hour between the two watches' time.
12 noon + 20 hours= 8 am Monday
83.3
Just add up all the numbers and divide by 6, as there are six numbers in this set of numbers
Given:
The table of values.
To find:
The y-intercept of the given function.
Solution:
The table of values represents a linear function because the rate of change is constant.
Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is
Adding 15 on both sides, we get
Putting x=0, we get
The y-intercept is 9. Therefore, the correct option is C.
