Linear-Quadratic Systems by Graphing

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

• (-4, 2) and (-1, 5)

• (-4, -1) and (2, 5)

• (2, -1 and (-4, 5)

• (-4, 1) and (2, -1)

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

What are the solutions to the graphed system?

• (0,-2) and (1,3)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

What is the solution to the linear-quadratic system graphed in the picture.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Find the solution by graphing on DESMOS.

• (2,3) and (3,-15)

• (-3,-15) and (4,-8)

• (-3,15) and (8,4)

• (-8,4) and (-4,10)

Determine the solution to the given linear-quadratic function.

• No Solution

• (3, 0)

• (2, -3)

• (-3, 2)

First determine how many solutions, then select all values that represent solutions to the following system of equations graphed.

• 1

• 4

• One solution

• -3

• two solutions

How many solutions does this system of equations have?

• one solution

• two solutions

• no solution

• infinitely many solutions