we started learning about boxes and measurements. we took that information and used it to solve for quadratics. we also used kinematics to help understand and solve the problems. but the two main ones were algebra and geometry.
exploring the vertex form of the quadratic equations all quadratic equations form a parabola. vertex form is a(x-h)+k. the leading coefficient of the vertex form is a. this will determine how wide the parabola will be. the vertex is represented by (h,k) then used in the vertex form. the coefficient h represents where on the x axis the vertex will fall. other forms of quadratics equation the other forms are standard and factored. factored forms are y=a(x-r)(x-s) this helps you find the x-intercepts and tells you were the x-axis probable crosses. slandered form is (y=ax^2+bx+c) and the variable c represents the y-intercept. converting between forms (x+5). When you look at this problem you know 5 is being multiplied by 2 because its squared you can write this out like this y=(x+5)(x+5)+1 next you read the problem and find 2x so you square the x2 and add and multiply 4 and then you have an equation that looks like that y=(x2+10x+7)+1. Now you need to find like terms or subtract 1 from 10 now your new final equation is y=x2+7x+9.