Determines where on the y-axis the function will be
What is the effect of c in the equation x^2 +c?
200
In y=a*b^x, when 01 it is exponential growth, b≠1, and b>0 because of the asymptote
What is the role of "b" in y=a*b^x?
200
Log (5, 125) can be written as Log(125)/log(5) to get the same answer. This method is called?
What is the Change of Base Formula?
200
The distance from a line to a point not on that line measured along its perpendicular
What is the shortest distance conjecture?
300
The points, (-4,0) and (-2,0) in the equation (x+3)^2 -1
What are the zeroes? (or x-intercepts)
300
A cubic function flipped over the y-axis
What is a horizontal flip? (or vertical)
300
Simplify: 3xy^-2/ (-3x^3y)^-2
What is 1/3x^-5
300
Use log properties to write as a single log:
4log(x) +3log(y) -8log(z)
What is log(x^4y^3/z^8)
300
If the same side interior angles are supplementary, then the parallel lines are cut by a transversal
What is the same side interior converse conjecture?
400
Find f(x), g(x), and h(x) from 3x^3 +3x^2
What is
f(x) =3x; g(x)= x+1; h(x)=x
400
The quadratic function flipped horizontally, stretched by a factor of 2, shifted down 8, right 5, and vertically stretched by a factor of 3. Write the equation.
What is y=-3(-.5x-5)^2 -8
400
(a^m)^n=a^m*n
(a^m)^n= {(a^m)*(a^m)...(a^m)} n times
{(a*a...)(a*a...a)...(a*a...a)} n times
What is a justification for (a^m)^n?
400
Use log properties to expand this log:
Log (4√(x^3 y^7/z^8))
What is 3/4log(x)+ 7log(y)- 8log(z)
400
The sum of the length of any 2 sides of a triangle is greater the length of the third side
What is the triangle inequality conjecture?
500
state the domain and range of the function: -√(-2x+3)
What is x≤3/2
500
Describe all of the transformations on the function y= -2*3(x+1)/3 +4
What is a vertical flip, shifted to the left 1, up 4, vertical stretch of 2, horizontal stretch of 3?
500
Simplify:
(3a^2(2/(b^2c)c^3)/ 6ab^-2c^2
What is 1ac?
500
Solve the problem: 3^x+1 =5^x
What is 1/log(3,5)-1?
500
This point of concurrency is equidistant from the sides of the triangle