Solving Systems Graphically

Page 1

In 5-13, solve each quadratic-linear system graphically, showing the graphs of both equations on the same axes for the interval -2 ≤ x ≤ 2.

x y1 y2

-2 4 0

-1 1 1

0 0 2

1 1 3

2 4 4

2

.5

2

21

xy

xy 4,2,1,121 and with table

thelabelmust You

yy

Find where the quadratic equation is symmetric

y =

x 2

y = x

+ 2

In 5-13, solve each quadratic-linear system graphically, showing the graphs of both equations on the same axes for the interval -2 ≤ x ≤ 2.

x y1 y2

-2 -2 1

-1 1 2

0 2 3

1 1 4

2 -2 5

3

2 .8

2

21

xy

xysolution No

y = 2 - x 2

y = x

+ 3

In 5-13, solve each quadratic-linear system graphically, showing the graphs of both equations on the same axes for the interval -2 ≤ x ≤ 2.

x y1 y2

-2 8 8

-1 2 6

0 0 4

1 2 2

2 8 0

42

2 .9

2

21

xy

xy 2,1,8,2

y =

2 x

2

y = -2 x + 4

In 5-13, solve each quadratic-linear system graphically, showing the graphs of both equations on the same axes for the interval -2 ≤ x ≤ 2.

x y1 y2

-2 -2 6

-1 4 4

0 6 2

1 4 0

2 -2 -2

22

26 .12 21

yx

xy

2,2,4,1

22 yxxx 2 2 222 xy

Solve equation for y

y = 6 - 2x 2

2 x + y = 2

In 14-22 Graph the quadratic and linear equations over an appropriate interval.

Find any solutions to the pair.

x y1 y2

-2 4 -2

-1 -1 -1

0 -4 0

1 -5 1

2 -4 2

3 -1 3

4 4 4

xy

xxy

2

21

42 .14 4,4,1,1

y =

x 2

– 2

x -

4

y = x

In 14-22 Graph the quadratic and linear equations over an appropriate interval.

Find any solutions to the pair.

x y1 y2

-4 9 -3

-3 4 -1

-2 1 1

-1 0 3

0 1 5

1 4 7

2 9 9

52

12 .15

2

21

xy

xxy 9,2,1,2

y =

x 2

+2x

+ 1

y =

2x +

5

In 14-22 Graph the quadratic and linear equations over an appropriate interval.

Find any solutions to the pair.

x y1 y2

-1 -5 -5

0 0 -4

1 3 -3

2 4 -2

3 3 -1

4 0 0

5 -5 1

4

4 .16

2

21

xy

xxy 0,4,5,1

y = 4x - x 2y =

x - 4