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:
a=11°
b=12°
Step-by-step explanation:
106°+ 7a-3°= 180°
7a= 180°-106°+3°
7a = 77°
a=77/7
a=11°
106° = 9b-2°
108°=9b
108/9 =b
b=12°
252 is the answer
total amount=the whole amount
total amount =amount of pants+amount of shirts
total amount=138+114
total amount=252
Answer=252
Answer:
x=-6
Step-by-step explanation:
I hope this helps, I write it on a sheet because I don't have pencils and notebook now ^_^
Cevap:
-1
Adım adım açıklama:
F (x) = 3cos2x-2sinx fonksiyonu verildiğinde, f (3π \ 2) bulacağız.
Vekil;
f (3π / 2) = 3kos2 (3π / 2) -2sin (3π / 2)
f (3π / 2) = 3cos3π - 2sin (3π / 2)
f (3π / 2) = 3 (-1) -2 (-1)
f (3π / 2) = -3 + 2
f (3π / 2) = -1
Dolayısıyla f (3π / 2) değeri -1'dir
