Completer the square purpose
To go from y=ax^2 +bx+c to
y=a(x-h)^2+k
How to find h part of complete the square
H= -b/2a
How to find k in complete the square
H^2 + k= c
Or
K= c-h^2
How to find max of a quadratic
Find the vertex
-b/2a and then solve for x
Linear parent
Y=x Constant slope Increases No concave / max min/ bends No concaves 1to 1 D= all real # R= all real # Constant velocity
Square root parent function
Y = sqrt(x ~ max 🤷♂️ 1to 1 Slope decreases but graph increases Concave down Domain and range [0,infinti) Xand Y intercept (0,0)
Quadratic parent
Y=x^2 Always concave up Has a min Constant acceleration Velocity constant increasing Line of symmtrt is y axsis Domain and range are all real nunbers
Absolute value parent
Y=|x| Has a min Has a bend Not a constant slope Line of symetry is y axsis
Domain
All possible inputs
Range
All possible outputs
Function
For each input only one output
Inverse flip x and y
Output is a funtion of input