Foundation of Alg 2
What inequality represents the sentence?
5 fewer than a number is at least 12
x-5>12
(x minus 5 is greater than or equal to 12)
What is the transformed Absolute Value function?
y=a|x-h|+k
FInd the GCF
24, 36, 48
12
what does i^2 equal??
-1
y= 12(0.95)^x
Decay, (0,12)
Is the equation always, sometimes, or never true?
11+3x-7=6x+5-3x
Never true
4=5
What happens when a < 0
"flips" reflects over x-axis
Factor:
-9x^3y+12x^2y^2
-3x^2y(3x-4y)
Simplify
sqrt -18
i 3 sqrt 2
Determine the equation for the asymptote. If it is exponential, is it growth or decay?
y=20(1/2)^x +10
Decay, a=20, (HA) y= 10, up 10, stretched
If y=3x+2..
Evaluate f(6) and write it as an ordered pair
f(6)=3(6)+2
18+2=20
(6,20)
What happens when (x+h)
horizontal translation
moves to the left
Factor the trinomial:
x^2-14x+24
(x-12)(x-2)
2i+5i-9i
-2i
Describe the transformations and identify the asymptotes, domain and range
y=1/x+1 -2
left 1, down 2, D: x/-1, R:y/-2, VA:x=-4, HA:y=6
How do you graph from slope intercept form?
1. place point at y intercept
2. use the slope to find another point
3. connect the dots
Graph in Desmos and write transformations.
y>|x+3|-5
a=1
h=-3
k=-5
Factor:
6m^2-17m+12
(2m-3)(3m-4)
Add the operations with complex numbers:
(3+7i)+(-8+4i)
-5+11i
z=kx/wy
If w=2, x=8, 7=10, and k=5 z=2, then find K
K=5
Let f(x)= 4x+7 and g(x)=x^2+x..
what are f+g and f-g
5x+x^2+7
x^2+3x+7
Using transformations what is the graph of
y=|x+4|-6
left 4
down 6
Factor:
32x^3-2x
2x(4x-1)(4x+1)
(-4-3i)(-4+3i)
25
What are the vertical asymptotes and/or holes for the function?
y=x+1/(x-2)(x-3)