Systems of Equations
Does (-1,1) work for
-x+y=2
2x-y=-3
Yes
parallel to y=4x+2 through (2,3)
y=4x-9
what's the parent function of absolute value
f(x)= |x|
factor by gcf 6x3-12x2+3x+6
(x-2) (6x2+3)
solve y=-3x +5 by substitution
5x+3y=7
(-2,11)
perpendicular to y=5x-3 through (1,4)
y=5x-1
what's the parent function of quadratics
f(x)= x2
factoring by special powers: x2+10y2
unfactorable
solve y= -3x-3y = -18 using substitution
7x+y= 6
(0,6)
y+2x-3 (-5,3)
y=2x-7
Identify the a,b,c, the axis of symetry, the vertex, and the y intercept of f(x)= -x2+ 2x-3
a= -1
b= 2
c= 3
aos: -2/2
y intercept: (0,-3)
vertex: (1,0)
factoring trinomials: r2+r-20
(r+5) (r-4)
solve -6x-6y= -18 by elimination
2x-y=12
(-5,2)
y=-5+1 (2,-1)
y=5x-11
Identify the a,b,c, the axis of symetry, the vertex, and the y intercept of f(x)=x2-8x+17
a=1
b= -8
c=17
aos: 4
y-intercept: (0,17)
vertex: (4,1)
factor trinomials: p2+14+48
(p+6) (p+8)
solve -6x+5y=1 by elimination
6x+ 4y= -10
(1,1)
y=-4x-2 (4,-4)
y=1/4x-5
Identify the a,b,c, the axis of symetry, the vertex, and the y intercept of f(x)=x2- 4x+ 2
a= 1
b= -4
c= 2
aos: 2
y-intercept: (0,2)
vertex: (2,2)
factor completely: 2p2+14p+24
(p+3) (p+4)