Model With Quadratic

Match the table with the correct equation:

• y = -.08x² + 5.94x +28.80

• y = -1.2x² + 3.2x +3.2

• y = 0.5x +9

• y = 0.7 x² + 2.7x +8.7

Match the table with the correct equation:

• y = -.08x² + 5.94x +28.80

• y = -1.2x² + 3.2x +3.2

• y = 0.5x +9

• y = 0.7 x² + 2.7x +8.7

The table shows the average braking distance of a car at various speeds.  Use a quadratic model to predict the breaking distance at 70mph.  

• 245 ft

• 225 ft

• 285 ft

• 265 ft

If the quadratic has THREE TERMS, what step is next?

• Factor using Area Model and X, if possible.

• Ask: Is it a Difference of Two Squares?

• The work is done.

• Write the area as a sum.

Write the area as a product?

Write the area as a sum?

Using the curve of best fit, what would be the output (y) when the input (x) is 7?

• 260

• 240

• 140

• 320

If this is an equation for a curve of best fit, find the output (y) when the input (x) is 13:

y = 1.2x² - 3.7x - 19

• -51.5

• 135.7

• 154.7

• 183,8

A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data is shown.

Based on a quadratic model, which best approximates the height at 3 seconds?

• 52 feet

• 55 feet

• 65 feet

• 80 feet

When using Desmos to find the curve of best fit, what do I need to enter first?

• y₁ ~ ax₁² +bx₁ + c

• the equation

• the table/chart of values

• the vertex