Final answer:
The question pertains to rewriting a quadratic equation into a specific format. The concept of solving for x in a quadratic equation using the quadratic formula is established. Additionally, the properties of linear equations with various slopes are recapped. However, the question requires further clarification to provide a precise response.
Step-by-step explanation:
The subject of the question involves rewriting an equation into a specific format and understanding the properties of linear equations. From the provided references, it is clear that the equation is a quadratic, given by the standard form ax² + bx + c = 0. To find the solutions for x, where x represents the independent variable and y the dependent variable, we can use the quadratic formula given as x = (-b ± √(b²-4ac)) / (2a).
When considering the properties of linear equations, as outlined in the figure provided, we know that the equation y = a + bx describes a line with slope b. If b > 0, the line slopes upward; if b = 0, the line is horizontal; and if b < 0, the line slopes downward.
In the context of the student's question, we need more information to accurately rewrite the function c(x) = 12 2 into the form y = 9(2) 5(a), specifically the correct representation of the given function and any constraints for r and b. However, the principles of solving quadratic equations and the characteristics of linear equations will be useful in the rewriting process, once the complete and correct form of the function is provided.