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
X= -5/8-5/8√33 or x= -5/8+5/8 √<span>33</span>
Answer:
E. 19
Step-by-step explanation:
Step 1: Plug in the x and y values mentioned:
-5 + 3(3 - (-5))=
Step 2: Distribute the three:
-5 + 9+15=
Simplify:
19
<em>Hope this helped and plz mark as brainliest!</em>
<em></em>
<em>Luna G.</em>
Answer:
2/6 And 4/12
Step-by-step explanation:
both simplified equals 1/3.
Answer:
10.75
Step-by-step explanation:
To get the average, we always SUM UP all the numbers and divide by the number of numbers.
We do this for "change" row since we want average of "change".
Let's add up all the changes:
11 + 12 + 10 + 10 + 11 + 10 + 11 = 75
How many numbers are there?
There are 7 numbers
Now, the average:
Average = Sum/Number of Numbers
Average = 
The average = 10.75
