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^2

Click here to see ALL problems on Graphs

Question 436900: How would I solve this problem?
Graph the equations of the system. Then solve the system to find the points of intersection.
y = x^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 ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
Graph the equations of the system
y = x^2 - 6x + 9 OR y = (x-3)^2
Using the vertex form of a parabola, where(3,0) is the vertex
y = -x + 3
Using the standard slope-intercept form for an equation of a line y = mx + b
where m = -1 is the slope and 3 the y-intercept. Pt(0,3) on the this line
Graph. Points of Intersection, the ordered pairs that are solutions for this system:
Pt(0,3) and (2,1)

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^2 - 6x + 9 y = -x + 3 Do I need to find