Are there choices? The answer without choices
g(x) = f(x) + 3
Find the value of a
It could be f(x) = a(x - 1)^2 so you have to check out the value of a
f(x) = y = a(x - 1)^2 Let x = 3
f(x) = y = a(3 -1)^2
4 = 2^2 * a The 4 comes from the graph. Follow 3 up until it hits f(x) then read across on the y axis.
a = 2^2 / 4
a = 1
Conclusion
f(x) = a(x - 1)^2
f(x) = (x - 1)^2
find g(x)
Just looking at the bottom point (the minimum of f(x) and g(x) ) you see that g(x) is 3 units above f(x)
So g(x) = (x - 1)^2 + 3
So g(x) = f(x) + 3 <<<<<<<< answer.
If there are choices, please list them. I am changing this at the request of a mod. Without choices, I believe either answer to be correct.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -8 ± √((8)^2 - 4(3)(2)) ] / ( 2(3) )
x = [-8 ± √(64 - (24) ) ] / ( 6 )
x = [-8 ± √(40) ] / ( 6)
x = [-8 ± 2*sqrt(10) ] / ( 6 )
x = -4/3 ± sqrt(10)/3
The answers are -4/3 + sqrt(10)/3 and -4/3 - sqrt(10)/3.
C≈100.53cm is the answer I got hope this helps
