Write a System of Linear Equations in Three Variables, and Then

question 7

Multiple Choice

Write a system of linear equations in three variables, and then use matrices to solve the system.
-The table below shows the number of birds for three selected years after an endangered species protection program was started.

Use the quadratic function $y = a x ^ { 2 } + b x + c$ to model the data. Solve the system of linear equations involving $a , b$ , and $c$ using matrices. Find the equation that models the data.

• A) \(y = 5 x ^ { 2 } + 12 x + 25\)
• B) \(y = 6 x ^ { 2 } + 24 x + 20\)
• C) \(y = 7 x ^ { 2 } - 12 x + 28\)
• D) \(y = 10 x ^ { 2 } - 36 x + 21\)