Transforming Functions
Other Algebra Stuff
Factoring
Solving Quadratics
Miscellaneous
100
Describe the shift.
f(x)= x2-4
Shift Down 4
100
Given the relation: {(1,3), (2,1), (3,1), (4,7)}
Is it a function? Explain.
Yes, none of the x-values repeat.
100
Factor: x2+5x-6
(x+6)(x-1)
100
What are the zeros of the parabola shown below?
x=-2 and x=4
100
What is the name of this toy?
Rubik's Cube
200
Describe the translation.
f(x)=(x+2)^2
Shift Left 2
200
If f(x)=-3x2+10, what is f(-2)?
-2
200
Factor: 9m2-100
(3m+10)(3m-10)
200
What are the zeros of the function:
f(x)= (2x-4)(3x+4)=0
x=2 and x=-4/3
200
Who was the most streamed artist on Spotify in 2024?
300
Describe the translation.
f(x)=|x-2|+3
Shift Right 2 and Up 3
300
Determine if the product is rational or irrational. Explain your answer.
sqrt(36) and -5.1
-30.6 is rational because it can be written as a fraction.
300
Factor completely: 4x3-49x
x(2x-7)(2x+7)
300
Solve for x:
2x2=72
x=6
x= -6
300
What TV award show did Mrs. Auletta go to at the beginning of this year?
The VMAs!
400
Describe the translation.
g(x)=f(x-4)+7
Shift Right 4 and Up 7
400
Rationalize the denominator:
1/sqrt(3)
sqrt(3)/3
400
Factor completely: 3x2-12x-288
3(x-12)(x+8)
400
***DOUBLE JEOPARDY****
Solve for the values of x by completing the square. Leave your answer in simplest radical form.
x2 -8x - 5 = 0
x=4 +- sqrt(21)
400
Who is Kylie Jenner's boyfriend?
Timothee Chalamet
500
The graph of f(x) has a turning point at (4,-3). The graph is then translated using the rule: f(x) = f(x)+5.
What is the new turning point?
(4,2)
500
Sunny purchases a new car for 29,000. The car depreciates at a rate of 15% annually. Find the value of the car in 5 years.
$12,867.45
500
Factor completely: x4-36x2
x2(x-6)(x+6)
500
Solve 6x2+5x-6=0 using the Quadratic Formula.
x = -3/2 and x= 2/3
500
Who just broke the NHL's all-time goal scoring record?
Alex Ovechkin