Answer to Question 1

 

1. y = 5 - x2
y = x + 3
 
Start with quadratic equation. y = 5 - x2
In standard form this is:
y = -x2 + 0x + 5
Find the axis of symmetry. x = -b/2a
x = -(0)/2(-1)
x = 0/(-2)
x = 0
Make a table, and fill in values of y.

x

y

-3
-2
-1
0
1
2
3

 -4
 1
 4
 5
 4
 1
-4
Graph the parabola.

Find the slope and y-intercept of the line. y = x + 3
slope =
1
y-intercept = 3
Graph the line.

y = 5 - x2
y = x + 3

Find the points of intersection.

Solution Set:
{(-2, 1), (1, 4)}

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