Key Features
ARC
Transformations
Systems
Surprise Me
100
These are (0,7), (1.6,0), and (4.4,0).
What are the x- and y-intercepts?
100
This is the formula for ARC.
What is (f(b) - f(a)) / (b - a)?
100
Vertical changes are in this place.
What is outside the function?
100
These are the 3 strategies for solving a system of equations.
What are graphing, substitution, and elimination?
100
This is the shape of a quadratic function.
What is a parabola?
200
The domain and range of the function.
What is the domain of all real numbers and range of [-2, infinity)?
200
ARC is similar to this topic studied in algebra 1 and geometry.
What is slope?
200
Horizontal changes are in this place.
What is inside the function?
200
These are the 3 possible solutions to a system of linear equations.
What are point(s) of intersection, no solution, and infinitely many solutions?
200
This is the shape of the absolute value function.
What is an angle?
300
Name the intervals of increase and decrease.
Increase (3, infinity)
Decrease (-infinity, 3)
300
This is the ARC on the interval [-5,-2].
What is 3?
300
Name ALL the transformations from the parent function y = |x| to the new function f(x) = -2|x - 3|
What is vertical stretch by a factor of 2?
What is reflection over the x-axis?
What is (horizontal shift) right 3?
300
Without graphing, solve the system
y = 4x - 2
y = -x + 8
What is (2, 6)?
300
These points separate intervals of positive and negative.
What are x-intercepts (or zeros)?
400
Graph the function f(x) = -0.25x2 + 4x and name the intervals of increase and decrease.
What is interval of increase (-infinity, 8) and decrease (8, infinity)?
400
This is the ARC on the interval [-3,1].
What is -2?
400
List all the transformation in g(x) = |3x + 9|- 5 from its parent function. Hint: rewrite in proper form by using the GCF
What is vertical stretch by a factor of 3?
What is a (vertical shift) down 5 units?
What is a (horizontal shift) left 3 units?
400
Without graphing, solve the system
-3x + y = 17
2x + y = -8
What is (-5, 2)?
400
These points separate intervals of increase and decrease?
What are minimums and maximums?
or What are turning points?
500
Name the domain, range, intervals of increase and decrease for the function
Domain of (-infinity, infinity) or all real numbers
the range of (- infinity, -7)
increase (- infinity, -6)
decrease (-6, infinity)
500
This is true about the ARC of a linear function.
What is, it is constant?
500
The point (2, 3) is being transformed by function g(x - 6)+ 7. Name the new coordinates after the transformation.
What is (8, 10)?
500
This is the solution to
3x + 4y = 7
2x + y = -8
What is (-7.8, 7.6)?
500
A school concession stand sells hot dogs for $3.50 each and sodas for $2 each. At the end of the night, they took in $180 on these two items. They sold twice as many sodas as hotdogs. How many hot dogs and sodas did they sell?
24 hot dogs and 48 sodas