This alters the shape, equation, and definition of a function in some way.
What is a transformation?
100
x*x is this in another form.
What is x^2?
100
This is, in other words, the inverse of a function.
What is a logarithm?
200
Generally defined by the equation y=x, this is a straight line function.
What is a linear function?
200
You switch this with y and solve to obtain the inverse of a function.
What is x?
200
This is the quadratic function shifted down by 3.
What is the definition of f(x)=(x^2)-3?
200
This is the amount of time it takes something to half itself in quantity--exponential decay.
What is half-life?
200
The equation 9^2=81 is this in logarithmic form.
What is log-base 9(81)=2 as an exponential equation?
300
This function takes the absolute value of all the x values to get y.
What is an absolute value function?
300
The function y=x is the "line of symmetry" for these two functions.
What is a function and its inverse?
300
This is the quadratic function horizontally shrunk by a factor of 32.
What is the definition of the equation f(x)=(32x)^2?
300
This is the justification for the exponential rule a^m * a^n = a^m+n.
What exponent rule is the justification "a^m= a*a*a*a...m times, a^n= a*a*a*a...n times, so a*a*a*a...m times * a*a*a*a...n times must equal a^m+n" for?
300
10^2=100 is this.
What is the logarithmic equation log(100)=2 in exponential form?
400
This is a test of a function, if you can pass a vertical line over the entirety of the function without any two points touching at one time.
What is the vertical line test?
400
f(x)=square root(x) is the inverse function of this.
What is f(x)=x^2?
400
a^-20 could also be written as this.
What is 1/a^20?
400
This is the Log Change of Base Formula.
What is Logb x = Loga x/Loga b?
500
This parent function's equation is f(x)=(1-x)^2
What is the parent function for the semicircle function?
500
The equation f(x)=1/2x+3 is the inverse of this.
What is the inverse of the equation f(x)=2x-3
500
f(x)=2000*(-x)^3 -17 is the equation of this function.
What is the equation of the cubic function downshifted 17, stretched vertically by a factor of 2000, and flipped horizontally?
500
Given 10^.301 = 2 and 10^.477 = 3, then x must be this for 10^x = 6.