Required to study:
-Domain and Range
-Function Notation and evaluating function notation equations. i.e f(x), f(3)
-Functions :
-Vertical Line Test
-Mapping Notation – one to one mapping
-Solving Quadratic Equations
-Factoring
-Quadratic Equation [-b+- root (b^2-4ac)] / [2a]
-Discriminant and number of roots
-Solving for max and min
-Partial Factoring -b/2a
-Completing the square into y=a(x-h)^2+k
1 Factor out so that a is equal to 1
2 If factored, only factor B term
3 Divide B term by 2, add b/2 inside squared and subtract outside
bracket squared
4 Factor x^2+(b/2)^2 into (x-(b/2)^2
5 Expand terms outside of bracket
6 Multiply -(b/a) on the outside with factored term in front if factored
7 Collect like terms and solve.
-averaging x-intercepts
Solving Radicals
-Treat Radicals like like term variables
-root 2 * root 4 = root (2*4)
-6 root 5 * 4 root 3 = 6*4 root (5*3) = 24 root 15
–(root 5 + 1)x = root 5 + x
-(root 5 + 1) root x = root 5 x + root x
-Mixed Radicals i.e. Root 27 = root 9*3 = 3 root 3
-Families of quadratics
-y= a(x-s)(x-r)
-fractional x intercepts need to be reversed.
⅓ = x
1=3x
3x-1=0
Y=a(3x-1)(…
-Steps
1 Substitute s and r from the X intercept given
2 Expand X
3 Substitute y and x value given from point
4 Solve to find a
5 Re-assemble equation
Intercepts of quadratic and linear
-Solving for # of intersections
1 Combine the equations
2 Group like terms
3 Solve for X through Factoring or Quadratic Equation
-Working with Radicals