The-relation-y-x-2-kx-c-where-K-and-C-are-constant-passes-through-the-points-1-2-and-1-8-in-the-coordinate-axes-calculate-the-value-of-C-and-K-M-m-

Question Number 185014 by Mastermind last updated on 19/Jan/23

The relation y = x^{2} + kx + c, where K

and C are constant passes through

the points (- 1, - 2) and (1, 8) in the

coordinate axes . calculate the value

of C and K .

M . m

Commented by Mastermind last updated on 19/Jan/23

It was a typo, it has been corrected

Answered by Rasheed.Sindhi last updated on 19/Jan/23

y = x^{2} + k x + c

p a s s e s t h r o u g h (- 1, - 2) :

- 2 = {(- 1)}^{2} + k (- 1) + c

k - c = 3 \dots \dots \dots . . (i)

p a s s e s t h r o u g h (1, 8) :

8 = {(1)}^{2} + k (1) + c

k + c = 7 \dots \dots \dots . (i i)

(i) + (i i) : 2 k = 10 \Rightarrow k = 5

(i i) : 5 + c = 7 \Rightarrow c = 2