Answer to Question 4

 

4. y = x2 + 4x + 3
y = 2x + 6
 
Start with quadratic equation. y = x2+4x+3
Find the axis of symmetry. x = -b/2a
x = -(4)/2(1)
x = -4/2
x = -2
Make a table, and fill in values of y.

x

y

-5
-4
-3
-2
-1
0
1

  8
 3
 0
-1
 0
 3
 8
Graph the parabola.

Find the slope and y-intercept of the line. y = 2x + 6
slope =
2
y-intercept = 6
Graph the line.


y = x2 + 4x + 3
y = 2x + 6

Find the points of intersection.

Solution Set:
{(-3, 0), (1, 8)}

 

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