Question

Solve diving linear quadratic system graphically. If necessary round to the nearest integer

Answer 1

Explanation:

y - 3 = ( x - 1 )² ⇔ y = ( x - 1 )² + 3 ⇔ Shift graph of y = x² one unit to the right and three units up.

2x + y = 5 ⇔ y = - 2x + 5 ; To graph this line mark ( 0 , 5 ) and ( 1 , 3 ) on coordinate plane and draw the line through those dots.

Two graphs intersect at ( - 1 , 7 ) and ( 1 , 3 ) .

Thus, system of equation has two solutions:

`x_(1)` = - 1 ,
`y_(1)` = 7

and

`x_(2)` = 1 ,
`y_(2)` = 3