1. Quadratic Regression

2. HOW do I find the vertex again?!?
Standard Form Vertex Form From Graph *Don’t forget: If “a” is positive, the parabola faces up, but if “a” is negative, the parabola faces down!*
𝑦= 𝑥 2 +6𝑥−7
𝑦=2 (𝑥−5) 2 +8

3. What is Quadratic Regression?
A process by which the equation of a parabola of
"best fit" is found for a set of data.

4. How do I find it?
If the parabola of best fit is not already drawn in, draw it.
Find the vertex of the parabola.
Match the vertex with the correct equation.

5. What is the equation of the parabola of best fit?
iRespond Question F
Multiple Choice
What is the equation of the parabola of best fit?
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A.) 𝑦= 1 2 (𝑥+4) 2 +3
B.) 𝑦=− 𝑥−
C.) 𝑦= 1 2 (𝑥−4) 2 +3
D.) 𝑦=− 𝑥−
E.)

6. Your Turn  B.) 𝑦= (𝑥−2) 2 +4 C.) 𝑦=− 𝑥−2 2 +4 E.) A.) 𝑦=− 𝑥+2 2 +4
iRespond Question F
Multiple Choice
Your Turn 
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A.) 𝑦=− 𝑥
B.) 𝑦= (𝑥−2) 2 +4
C.) 𝑦=− 𝑥−
D.) 𝑦= (𝑥+2) 2 +4
E.)

7. Let’s draw it in and then find the equation of the parabola.
iRespond Question F
Multiple Choice
Let’s draw it in and then find the equation of the parabola.
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A.) 𝑦= 𝑥 2 +8𝑥+31
B.) y= 𝑥 2 −8𝑥+31
C.) 𝑦= 𝑥 2 +4𝑥+15
D.) 𝑦=− 𝑥 2 −8𝑥+31
E.)

8. Now You!! E.) A.) 𝑦= 𝑥 2 +2𝑥−2 B.) 𝑦=− 𝑥 2 +2𝑥−2 C.) 𝑦= 𝑥 2 −2𝑥−2
iRespond Question F
Multiple Choice
Now You!!
B7B66D5F-1D75-3A4D-8FB8-5B8EF8A3803D
A.) 𝑦= 𝑥 2 +2𝑥−2
B.) 𝑦=− 𝑥 2 +2𝑥−2
C.) 𝑦= 𝑥 2 −2𝑥−2
D.) 𝑦=− 𝑥 2 −2𝑥+2
E.)

9. The table shows the monthly sales (thousands) for a new hair salon
The table shows the monthly sales (thousands) for a new hair salon since its grand opening in March.
Find the best fitting quadratic model.
iRespond Question
Multiple Choice F
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A.) y=− 1 6 𝑥
B.) 𝑦= 1 6 𝑥
C.) 𝑦= 1 6 𝑥 2 +2𝑥+5.6
D.) 𝑦=− 1 6 𝑥 2 +2𝑥+5.6
E.)

10. iRespond Question F
Multiple Choice
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2) Estimate how much money the hair salon will have made in September (use the information you found in question 1).
A.) Can’t Tell
B.) $10, 040
C.) $23, 600
D.) $11, 600
E.)