1. L5-11 Quadratic Systems, (by graphing) Text pp 213 – 218 Workbook pp 183 – 188
Essential Question:
Can I find the solutions to a system that involves a quadratic equation?

2. Warmup/Review: Simplify the following
− − (2 – 3i) – (3 + 4i) (2 – 3i)(3+ 4i)
11i
i 12 i
2i 𝟑
–1 – 7i
6 + 8i – 9i – 12i2
6 – i + 12
18 – i

3. Ex 1: Solving a Linear-Quadratic System Graphically
Solve the system: y1 = x2 + 4x + 1 y2 = x + 1
Graph y1 with a table.
x = –3 , y = –2
x = –2, y = –3
x = –1, y = –2
x = 0 , y = 1
x = 1 , y = 6
x = 2 , y = 13…
Graph the linear equation:
The y-intercept is 1 and the slope is 1.
And (0, 1) is a solution
Graph each equation and find the Points of Intersection. Any system that involves a quadratic can have up to two solutions (ordered pairs as answers).
(–3, –2) is a solution

4. Ex 2: Solving a Linear-Quadratic System using the Calculator (Ti-84+)
5) When it says “Guess?” MOVE the curser to the specific point you are looking for and hit “enter” a last time.
The coordinates of that point are now listed at the bottom. (Round your answer as needed.)
Solve the system: y1 = –x2 + 9x – 6 y2 = ½ x + 2
Repeat the process for any other points of intersection.
(7.42, 5.71) is the other solution
1) Input each equation into “y =“. Hit “Graph”.
2) Hit “2nd” “calc/trace” and choose “5: intersect”
3) Hit “enter” to select the first equation.
4) Hit “enter” again to select the second equation
(1.08, 2.54) is a solution

5. Homework/Practice
Linear-Quadratic Systems – Worksheet 1
Do (1 – 5)