Vocab
This kind of function is built by multiplying linear factors to make higher-exponent x terms, such as f(x)=3x2+7x-1, g(x)=-2x3-2x2+x+1, or h(x)=(x+1)(x-2)(2x+3)(x-5).
What is a polynomial?
The name of this quadratic form:
f(x)=A(x-h)2+k
What is vertex form?
These transformations take f(x)=x3 onto g(x)=3(x+1)3 - 4.
What is a horizontal shift of one unit left, a vertical shift of four units down, and a vertical dilation by a factor of 3 (making it skinny)?
This number represents the maximum number of x-intercepts that a quartic function could have.
What is four?
The club that Dr. Saylor runs on Thursdays at lunch.
What is GSA? (Gender & Sexuality Alliance)
The highest exponent in a polynomial function.
What is degree?
These transformations take f(x)=x2 onto g(x)=(x-5)2+3.
What is a horizontal shift of five units to the right and a vertical shift of three units up?
These two options represent the possible end behavior of a cubic function.
What is "from negative infinity to positive infinity" or "from positive infinity to negative infinity"?
These two options represent the end behavior of a quartic.
What is "from positive infinity to positive infinity" or "from negative infinity to negative infinity"?
Dr. Saylor's favorite video game franchise.
What is Legend of Zelda?
A function with a line of symmetry through the y-axis.
What is an even function?
These transformations take f(x)=x2 onto g(x)=3(x+1)2 - 2.
What is a horizontal shift of one unit left, a vertical shift of two units down, and a vertical dilation by a factor of three (making the graph skinny)?
Given f(x)=x3, these transformations produce y = (-1/3)*f(x+1) - 4.
This end behavior corresponds to an odd-degree polynomial with a negative leading coefficient.
What is "from positive infinity to negative infinity"?
Dr. Saylor's favorite baseball team.
Who are the Houston Astros?
A function with rotational symmetry (180 degrees) about the origin.
What is an odd function?
These transformations take the function f(x)=x2 onto the function g(x)=(-1/2)*(x+4)2+1.
This word answers the question as to whether the following function is even, odd, or neither:
f(x)=x3+x.
What is odd?
This word answers the question as to whether the following function is even, odd, or neither:
f(x)=x4+x2 - 3.
What is even?
The franchise that Dr. Saylor dressed up as characters from during the whole week of Halloween this year.
What is The Owl House?
In a polynomial, this number is multiplied by the power of x that determines the function's degree.
What is the leading coefficient?
What is f(x)=(-2/3)*(x+3)2 - 2?
This word answers the question as to whether the following function is even, odd, or neither:
f(x)=|x3|.
What is even?
This word answers the question as to whether the following function is even, odd, or neither:
f(x)=x5+x4.
What is neither?
The university where Dr. Saylor got his PhD.
What is FSU? (Florida State University)