The vertex form is
f(x) = a(x - (-1))^2 - 108 = a(x + 1)^2 - 108 where a is some constant.
from the y intercept x = 0 when f(x) = -105, so substituting:-
-105 = a (0+1)^2 - 108
a = -105+108 = 3
so our equation is f(x) = 3(x + 1)^2 - 108
for x intercept:-
3(x +1)^2 - 108 = 0
(x + 1)^2 = 108 / 3 = 36
x+ 1 = +/- sqrt36 = +/- 6
x = -7 or 5
so the x intercepts are at ( (-7,0) and (5,0)
Answer:
(11)
Step-by-step explanation:
If it varies directly, you need to find k, the constant of proportionality.
This is done by plugging the values in for x & y that are known.
y = kx
18 = k(5)
= k
Now solve for y when x is 11.
y = (11)
y = 39.6
Answer:
In order, top to bottom: y = 2, 1, 0, 1, 2
Step-by-step explanation:
The rule is essentially saying that in order to change x into y, you find the absolute value of x. The absolute value is the integer value without a negative. Therefore, all that's needed is to find the positive version of each of the x values.
Answer:
11.375 pounds
Step-by-step explanation:
1.75 * 6.5 = 11.375