The red parabola shown is the graph of the equation x = ay^2 + by + c. Find a+b+c.
Answers
Given : red parabola shown is the graph of the equation x = ay^2 + by + c
To find : a + b + c
Solution:
x = ay² + by + c.
at x = - 3 , y = 1
=> - 3 = a(1)² + b(1) + c
=> -3 = a + b + c
=> a + b + c = - 3
Additional Info :
find a , b & c values too
then
x = - 2 , y = 0 & 2
=> -2 = c
& - 2 = 4a + 2b + c
=> -2 = 4a + 2b - 2
=> 4a + 2b = 0
=> 2a + b = 0
a + b + c = - 3
=> a + b - 2 = - 3
=> a + b = - 1
=> a = 1 , b = - 2
a = 1 , b = - 2 , c = - 2
x = y² - 2y - 2
=> x = ( y - 1)² - 3
a + b + c = - 3
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