4.1/4.2/4.9 Flashcards
Parent function for quadratic
Y=x^2
Graphing y=ax
A* whatever the x value is
Comparing parent quadratic to y=ax+c
|a|>1=stretch
|a|<1= shrink
A<0 reflection
C is vertical shift
Standard form for quadratic a
Y= ax^2+bx+c
How to graph Y= ax^2+bx+c
A>o opens up
A
How to find max and minimums of Y= ax^2+bx+c
-(b/2a)
Plug in x and find y
If a0 opens up so minimum
Vertex form for quadratic
Y=a(x-h)^2+k
What do the variables represent in Y=a(x-h)^2+k
A is opening up or down
H is horizontal shifts
K is vertical shifts
Vertex is h k
What is intercept form of quadratic
Y=a(x-p)(x-q)
What do the variables represent in Y=a(x-p)(x-q)
P and Q are x intercepts
Axis of symmetry P+Q/2
Vertex find x, then plug in for y
What does foil represent
First
Outer
Inner
Last
How do you change from intercept to standard
Y=a(x-P)(x-q) to y=ax^2+bx+c
Foil