100 !
get ready for the launch of america’s top equation!

imagine that a tv network held a talent contest for . . equations. which type of equation would you want to win? pick the kind of function that you’d like to sponsor for the contest, and describe its traits in a way that shows why it should be america’s top equation.

recall some of the types of equations: linear, exponential, and quadratic (you’ve seen these equations applied to increasingly advanced scenarios), plus polynomial, radical, and rational. you’ve seen these equations in systems and by themselves, and sometimes as the basis of an inequality or a system of inequalities.

in your description, include key features (as represented in a graph, equation, or table) and prove your equation type’s worth for solving real-world problems. america’s top equation must prove useful and applicable to everyday situations!

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.

Linear equations can be a useful tool for comparing rates of pay. For example, if one company offers to pay you $450 per week and the other offers $10 per hour, and both ask you to work 40 hours per week, which company is offering the better rate of pay? A linear equation can help you figure it out! The first company's offer is expressed as 450 = 40x. The second company's offer is expressed as y = 10(40). After comparing the two offers, the equations tell you that the first company is offering the better rate of pay at $11.25 per hour.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1