Quadratic Curve of Best Fit

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

Based on this pattern, would a Linear or Quadratic model be most appropriate?

• Quadratic

• Linear

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSA.APR.A.1

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.D.10

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

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.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.C.7

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10
• f(x)=
   3x² + 9x - 10
• f(x) =
   3.1x² - 9.2x - 10.3
• f(x) =
  2.1x² - 8.6x + 10.1

Tags

CCSS.8.F.A.1

CCSS.8.F.A.2

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

CCSS.HSA.REI.C.7

Match the table with the correct equation:

x | y

-5 | 12

-4 | 11

0 | 9

2 | 15

3 | 25

• 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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

Match the table with the correct equation:

x | y

-1.5 | 12

-1 | 25

-0.5 | 35

2.7 | 38

4.8| 58

• 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

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

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.SSE.A.1

CCSS.HSA.REI.B.4