Fit a Quadratic to Function Data

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

• -18x² + 2.11x + 4.21
• -.06x² +1.06x + 7.9
• -6x² +1.06x + 79
• -.12x² + 2.11x + 4.22

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.HSF.IF.A.2

Find the best fitting quadratic model for the data given.

• 1.2x² + 13x + 504.3
• 12x² + 13x + 504.3
• .12x² + 1.3x + 504.3

Find the population for 1975.

• 623 thousand people
• 650 thousand people
• 599 thousand people
• 513 thousand people

Tags

CCSS.HSF.LE.B.5

Find the best fitting Quadratic model for the data

• -.26x^2-17.3x+222.8
• -.26x²+22.59x+23.02
• 2.6x²+22.9x+20.03
• 2.6x²+2.3x+23.02

What is the distance if the angle is 45 degrees?

• 513 ft
• 507 ft
• 520 ft
• 505 ft

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

What is the y-value when the x-value is 5?

• 18.6
• 19.6
• 17.6
• 16.6

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4
• 2
• 4
• 8

 The function below represents the flight of a ball being thrown by a girl who is standing on a box.  What is the maximum height of the ball?
y = -1/2x² + 2x + 2?

• 2 feet
• About 5 feet
• 0 feet
• 4 feet