Creating Quadratic Mathematical Models

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

• x = 1 and x = 3

• x = 6 and x = -2

• x = -1 and x = -3

Identify a, b, and c in: x²−6x+14

• 3,5,9

• 1,-6,14

• 1,-6,-14

• 1,6,14

Identify the 'b' value: y = 16x² -8x -24

• 16

• -8

• 8

• -24

What is the "c" value in the equation 4x² = 76 ?

• 4

• 76

• 0

• -76

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

A rock is dropped from a height of 48 meters. Write an equation to model the height as a function of time, where y is height and x is time.

(Acceleration due to gravity is 9.8 m/s/s)

Mathematical Equivalence

ON

A fish is dropped from an eagles talons from a height of 30 meters. Write an equation to model this for height as a function of time.

Choose the best method to solve this quadratic:

​ (a)  

-3 = 4x² + 9x

• Quadratic Formula

• Square Roots

• ZPP

Choose the best method to solve this quadratic:

​​ (a)  

x² + 8x - 13 = 0

• Square Roots

• ZPP

• Quadratic Formula