section 9.5 quadratic formula – round 2 goal: use the quadratic formula to solve quadratic...
TRANSCRIPT
![Page 1: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/1.jpg)
Section 9.5Quadratic Formula – Round 2
Goal: Use the quadratic formula to solve quadratic equations and to find
the x-intercepts.
Knocking out math problems
one by one!
![Page 2: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/2.jpg)
Algebra 1(B)Daily Warm Up
Sketch a graph of the function.
y = -3x² + 6x + 2
1. Does graph open up or down?
2. Give coordinates of the vertex.
3. Write the of the axis of symmetry.
down
(1, -5)
x = 1
![Page 3: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/3.jpg)
<Fill In The Blanks>
• From yesterday’s lesson …
Step 1:
Step 2:
Step 3:
Step 4:
The “ “ Formula
![Page 4: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/4.jpg)
Homework Questions?
![Page 5: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/5.jpg)
Connections
Section 9.4 Section 9.5
• Solve by using the quadratic formula: 2 12 0x x
• Represent the solution graphically: 2 12 0x x
![Page 6: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/6.jpg)
So … What Have We Learned?
The quadratic formula allows us to find the solutions to a quadratic equation
ANDthese are also the x-intercepts.
![Page 7: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/7.jpg)
Step-by-Step Guide
How do we find the x-intercepts of y = x² + 3x – 8?
Step 1: Write in standard form.
x² + 3x – 8 = 0
Step 2: Identify a, b, c.
a = 1, b = 3, c = -8
Step 3: Plug into quadratic formula.
2 4
2
b b acx
a
≈ 1.70, ≈ -4.70 3 41
2
3 41
2
![Page 8: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/8.jpg)
KENTUCKY DERBY
You will be split into groups of 4. Each member of the group is
responsible for showing his/her own work.
A letter will be assigned to each person in the group.
Letters will be called randomly. That person will have to show a teacher his/her answer.
Your horse will advance to the next square if you are correct.
The first horse to cross the finish line is the winner.
Directions
![Page 9: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/9.jpg)
KENTUCKY DERBY
Solve by using the quadratic formula.
Problem 1
Start Finish
x = 1, x = -7
![Page 10: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/10.jpg)
KENTUCKY DERBY
Solve by using the quadratic formula.
Problem 2
Start Finish
x = 8, x = -2
![Page 11: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/11.jpg)
KENTUCKY DERBY
Solve by using the quadratic formula.
Problem 3
Start Finish
x = 1.5, x = 2
![Page 12: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/12.jpg)
KENTUCKY DERBY
Solve by using the quadratic formula.
Problem 4
Start Finish
x = -0.6, x = -1
![Page 13: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/13.jpg)
KENTUCKY DERBY
Solve by using the quadratic formula.
Problem 5
Start Finish
x = 0.47, x = -6.47
![Page 14: Section 9.5 Quadratic Formula – Round 2 Goal: Use the quadratic formula to solve quadratic equations and to find the x-intercepts. Knocking out math problems](https://reader035.vdocuments.us/reader035/viewer/2022070401/56649f165503460f94c2b739/html5/thumbnails/14.jpg)
Homework
pgs. 536-537 #44-46, 53-55
Quiz 9.4-9.6 on Monday 4/6!