Learning Goals for unit
- Use the Quadratic equation to find x-intercepts of standard for equations
- Complete the square to convert standard form into vertex for and find the vertex of a parabola
Standard Form: y= ax^2 + bx + c
The value of c is coordinate
The value of b can translate into the x coordinate
Finding solutions for an equation: Discriminant
The discriminant formula is d= b^2-4a
Maximum or Minimum Values: Completing the square
x= 2 √-2² -4(3)(-65)
x=2 (+-) 28
x = 30/6 x=5 x = -26/6 x= -4.333 (Not valid)
Therefore x is 5 feet and the dimensions are 5 feet and 13 feet.
5*13 = 65
1,and 2 of quadratics had major roles in the last part of the unit. We learned
graphing, vertexes, and x- intercepts in the first part. In the third we worked towards finding them using two different ways, quadratic formula and completing the square.
itsvery important to follow the formulas very precisely or you'll risk messing up 1 part and getting the wrong answer to the whole equation. This happened to me many times.
we learned multiples ways to graph a parabola which all involved finding x-intercepts in some way and then find the vertex of the parabola which became easy with practice and paying attention to the finer details.
After thoroughly practicing and understanding the topics and techniques I was able to prove it with better results.