Chapter 4 Flashcards
Vertex form
Y=a(x-h)2+k
Intercept form
Y=(x-p)(x-q)
How to find the y intercept from general form
It is (0,C)
Vertex formula
-b/2A
Intercept form finding the axis of symmetry
Use the distance formula
Distance formula
2
How to tell if something is linear
If x is to the first and there is no xy
Sum of cubes
A3+B3=(a+b)(a2-ab+b2)
Difference of cubes
A3+B3=(a+b)(a2+ab+b2)
How to use the sum and difference of cubes ex. 8x2-1
Take the cube roots of each, number
Plug them in to the formula
Duplicity
Having two options
How to find the vertex in vertex form
It is given. (H,K)
How to formally graph quadratic equations.
You need 5 points
1 vertex
2 y intercepts
2 choice.
How to calculate the y intercepts
Plug in x=0 then mirror
General form
Y=Ax^2+Bx+C
How to solve equations by factoring.
Set it equal to zero.
Factor completely
Create 2 equations with the 2 different subjects of multiplication.
Solve for duplicity
How to solve by completing the square
Get a=1
Complete the square.
Factor
Solve for a duplicity with +/-