genyjoannerubiera
29.06.2021 •
Mathematics
Type the correct answer in the box.
Consider the table below.
х у
-3 0.5
-2
1
-1 2.5
0
5
18.5
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and care constants.
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Ответ:
Step-by-step explanation:
Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:
and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.
and
8.5 = a + b + 5 and
3.5 = a + b Hold that thought while we come up with the second equation for this system.
and
2.5 = a - b + 5 and
-2.5 = a - b Now solve this system using the method of eliination:
a + b = 3.5
+ a - b = -2.5
so
2a = 1 and a = 1/2 Now we can plug that in and solve for b:
a + b = 3.5 becomes
1/2 + b = 3.5 so
b = 3 and the equation is
Ответ:
f (x)=-5x^2+7x+6
df(x)/dx=-10x+7
set df(x)/dx=0 to find vertex
10x=7
x=7/10