SOLUTION: How would I solve this problem? Graph the equations of the system. Then solve the system to find the points of intersection. y = x to the power of 2

SOLUTION: How would I solve this problem? Graph the equations of the system. Then solve the system to find the points of intersection. y = x to the power of 2 - 6x + 9 y = -x + 3 D

Question 436896: How would I solve this problem?
Graph the equations of the system. Then solve the system to find the points of intersection.
y = x to the power of 2 - 6x + 9
y = -x + 3
Do I need to find the intersections first before I can graph?
Thank you very much for your help.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

as you can see from the graph, intersections are at :
(2,1) and (3,0)
let's check it:
...substitute with

.use quadratic formula

.......one solution

.......another solution
now find
.......if

.......if

so, you get points (3,0) and (2,1) as seen on a graph

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