chapter 8
x2-25=0
solve
x: {-5, 3}
find the inverse
h(x)= (x-5)/3
h-1(x) = 3x+5
what is the discriminant?
2x2-6x-8=0
100
(x+4)2=√4
x: {-6, -2}
describe the transformations
y=-2|x-3|+4
reflection, stretch x2, right 3, up 4
what is the number and type of solutions
5x2+12x-13=0
2 real solutions
solve:
2x3=3
solution set: {+- √6/2}
what does the a value do
y = 2(x+1)2-2
stretch x2
find the number that makes x2-9x+___ a perfect square trinomial.
81/4
solve x2+4x+3=0
{-3, -1}
what is the vertex:
y = 2(x+1)2-2
vertex: (-1, -2)
what is the vertex
y = x2 - 8x +10
(4, -6)
2x2-x=6
solve
{-3/2, 2}
state the transformations:
y = -√(x+1) - 2
reflection, left 1, down 2
what is the shape of this conic section
(x-3)2/4 - (y+1)2/4 = 1