Curve of Best Fit

Find the best fitting quadratic model for the data given.

• y = 1.2x² + 13x + 504.3

• y = 12x² + 13x + 504.3

• y = .12x² + 1.3x + 504.3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Using the quadratic curve of best fit, find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft

• 13.3 ft

• 11.1 ft

• 17 ft

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Calculate the Curve of Best Fit for this table of values:

• y = 2x² - 9x + 10

• y = 3x² + 9x - 10

• y = 3.1x² - 9.2x - 10.3

• y = 2.1x² - 8.6x + 10.1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

What would the equation be that best fits this data?:

{(-15, 53.5), (-14, 28), (-3, 18), (0, 4), (6, 27), (14, 50)}

• y = .17x²+.45x+12.43

• y = .16x²+.45x+12.42

• y = -.04x + 30

• y = -.03x + 30

Tags

CCSS.HSA.CED.A.2

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

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

• 260

• 240

• 140

• 320

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF-IF.C.7A

When finding the curve of best fit in Desmos, what do I do after I entered my table of coordinates?

• plot the points

• y₁ ~ ax₁ +b

• y₁ ~ ax₁² +bx₁ + c

• do a little dance

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

In the equation

y = x² +5x +7, match each coefficient with its correct letter

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1