Quadratic Regression

HOW do I find the vertex again?!?

Standard Form Vertex FormFrom Graph

*Don’t forget: If “a” is positive, the parabola faces up, but if “a” is negative, the parabola faces down!*

𝑦=𝑥2+6 𝑥−7 𝑦=2(𝑥−5)2+8

What is Quadratic Regression?

0 A process by which the equation of a parabola of "best fit" is found for a set of data.

How do I find it?0If the parabola of best fit is not

already drawn in, draw it.

0Find the vertex of the parabola.

0Match the vertex with the correct equation.

A.)

B.)

C.)

D.)

What is the equation of the parabola of

best fit?

Your Turn

A.)

B.)

C.)

D.)

A.)

B.)

C.)

D.)

Let’s draw it in and then find the equation

of the parabola.

A.)

B.)

C.)

D.)

Now You!!

The table shows the monthly sales (thousands) for a new hair salon since its grand opening in March.

1) Find the best fitting quadratic model.

A.)

B.)

C.)

D.)

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