Intercepts
Lines of Symmetry & Vertices
Features of Functions
Function Values
Transformation Potluck
Ski Lifts
100
These are the x- and y-intercepts of y=3x-10 , written as fractions if necessary.
What are (10/3,0) and (0,-10) ?
100
This is the axis of symmetry of the quadratic function y=(x+7)(x-1) . (Be sure to write your equation as an equation of a line.)
What is x=-3 ?
100
This is the domain, simplified, of the function shown below. Write your answer in interval notation.
What is [-2,3) ?
100
This is f(7) if f(x)=2/(x-3) .
What is 1/2 ?
100
This is the equation of the quadratic function shown in red, based on function transformations of the black base function.
What is y=(x+5)^2+1 ?
100
This Bogus Basin chair, historically open only weekends prior to 2024-2025, was recently converted from a fixed double to a fixed quad, might make you make a scrunchy face while picking potatos, carrots, or maybe onions.
What is the Bitterroot Chair?
200
These are the x- and y-intercepts of 10x-5y=35 , written as fractions if necessary.
What are (7/2,0) and (0,-7) ?
200
These are the axis of symmetry and vertex of y=3(x+2)^2-5 . (Write lines of symmetry as linear equations, and write vertices as coordinate pairs.)
What are x=-2 and (-2,-5) ?
200
This is the range, simplified, of the function shown below. Write your answer in interval notation.
What is (-2,4] ?
200
This is the solution to f(x)=0 if f(x)=x(x+9)
What are x=0 and x=-9 ?
200
This is the equation of the function graphed in red, based on the black parent function:
What is y=-abs{x-2} ?
200
This Bogus Basin lift, serving primarily beginner terrain, was named for Bill "Coach" Everts.
What is the Coach Lift?
300
These are the x- and y-intercepts of y=(x+3)(x-5) .
What are (-3,0), (5,0), and (0,-15)?
300
This is the axis of symmetry of the quadratic whose factored form is y=x^2+8x+12
What is x=-4 ?
300
This is the interval on which the function is positive. Write your answer in interval notation.
What is (-2,2) ?
300
Let f(x)=3x^2-7 . This is f(-2) ?
What is 5?
300
This is the transformed equation of the function graphed in red, based on the parent function graphed in black.
What is y=-2x^3+3 ?
300
Not a ski lift, but this is a positive thing you could say about someone else in this class.
What is (what you just said)?
400
These are the x- and y-intercepts of y=x^2+10x-24
What are (-12,0), (2,0), and (0,-24)?
400
This is the vertex (write as a coordinate pair!) of the quadratic function y=x^2-12x+3 .
What is (6,-33) ?
400
This is the solution(s) to f(x)=3 .
What are x=-1 and x=1 ?
400
Let f(x)=3x^2-7 . This is the solution to f(x)=-4 ?
What are x=1 and x=-1 ?
400
(You don't know an equation for the function graphed in red or black, but your understanding of transformations can still be used to answer this question.) Given the parent function (in black), which we will call y=f(x) , this is the equation of the blue function after transforming it.
What is y=f(x-5)+2 ?
400
This Brundage Mountain lift is named for the nirvana we all seek - sunny days playing in powder.
What is the Bluebird Lift?
500
These are the x- and y-intercepts of y=2abs{x-3}-2 .
What are (2,0), (4,0), and (0,4)?
500
The vertex of a quadratic function is (1,-4) and its y-intercept is (0,-3) . What are the x-intercepts?
What are (-1,0) and (3,0)?
500
This is the solution to f(x)=-2 .
What is "There is no solution."?
500
The cost, C, of a budget cell plan is $10 in access fees, plus $2 for every GB of data used, d. This is the solution to the equation C(d)=37.50 , as well as the interpretation in context.
What is d=13.75 ? Also, what is "13.75 GB of data will cost $37.50?"
500
(You don't know an equation for the function graphed in red or black, but your understanding of transformations can still be used to answer this question.) Given the parent function (in black), which we will call y=f(x) , this is the equation of the blue function after transforming it.
What is y=-2f(x) ?
500
The world's first lift opened in Sun Valley, Idaho in 1936, and was inspired by systems for loading this tropical fruit onto ships.
What are bananas?