Question 29

Solving Quadratic Equations Graphically

Graph the functions f(x) =-x² + 4x2 and g(x) = -4.

Use your graphing calculator to find the point (s) of intersection.

7+

6 +

-6 -5 -4 -3 -2

7

10

4

3

2

2

2

AN

er

*

5

O

Co

12 3 4 5 6 78 9 10

Clear All Draw:

^^^^/n-8-

-9-

Clear All Draw:

10

Use the Line Tool to draw the Horizontal Line g(x) = -4.

Use the Poly Tool to draw f(x) = -x² + 4x - 2 using the vertex and one other point.

Write the Point(s) of Intersection as a list of Ordered Pairs.

Round to the nearest hundredth as needed.

Use a comma to separate the intersection points.

Write the solution (s) to the equation -x² + 4x

2=

x=

Round to the nearest hundredth as needed.

Use a comma to separate the solutions.

Write the solution (s) to the INEQUALITY x² + 4x

AXA

Round to the nearest hundredth as needed.

2

4