Quadratics
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Unit Circle and Graphing Trigonometric Functions
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Random Trivia
Non-Math Challenges
100

Factor 

4x^2-169

(2x-13)(2x+13)

100

State the inverse of 

y=2x+3

y=(x-3)/2

100

Calculate 

log_3(9)+log_2(16)

6

100

Find 

sin(270^o)

-1

100

this rule is commonly used when you know 2 sides and an included angle of a triangle

cosine rule

100

In this 1994 movie, Tom Hanks plays a simple man with a big heart, recounting his extraordinary life story while sitting on a bench.

What is Forrest Gump?

100

This Netflix show follows a group of kids in the 1980s battling supernatural forces and features a creature called the Demogorgon.

What is Stranger Things?

100

This country is home to the Great Barrier Reef, the world’s largest coral reef system.

Australia

100

This ocean separates Africa from Australia.

Indian Ocean

100

Complete today's wordle in 5 guesses or less.

-

200

Factor 

6x^2+11x-10

(3x-2)(2x+5)

200

Given the function below, state its domain and range.

f(x)=-x^2+3

Domain is all real numbers, range is 

{y|y<=-3}

200

Sketch, clearly indicating the asymptote and 3 other points on the graph

y=3^x+1

200

Find 

cos((7pi)/4)

sqrt2/2

200

what is meant by the ambiguous case of sine rule?

sin(x)=positive number has 2 solutions between 0 and 180, hence possible to have acute and obtuse triangle unless more information is given 

200

This 1979 sci-fi horror film directed by Ridley Scott introduced the terrifying Xenomorph creature.

Alien

200

This hit HBO series based on a video game stars Pedro Pascal and Bella Ramsey as survivors navigating a post-apocalyptic world.

What is The Last of Us?

200

This mountain range, the longest in the world, stretches along the western edge of South America.

Andes

200

This war was sparked by the assassination of Archduke Franz Ferdinand.

WWI

200

complete today's connections in 4 minutes or less

-

300

Complete the square: 

3x^2-4x+5

3(x-2/3)^2+11/3

300

Graph the function below, indicating all axes intercepts and asymptotes. 

(2x-4)/(3-x)

Vertical asymptote at x = 3, horizontal at y=-2, x int at (2, 0), y int at (0, -4/3)

300

Write as a log base 3 and simplify 

log_9t


300

State the domain and range of 

f(x)=-2sin(5x)+7

domain all reals, range 5 to 9

300

A triangle has sides a, b, and included angle C. What angle C would maximize its area?

C = 90 degrees, sin(90) is 1 (max of sine function)

300

This 2022 psychological drama starring Florence Pugh and Harry Styles takes place in a utopian experimental community with dark secrets.

What is Don’t Worry Darling?

300

This actor plays Tony Soprano, the troubled mob boss in HBO’s The Sopranos.

James Gandolfini

300

This landlocked country in Central Asia is the largest in the world by area that does not have a coastline.

What is Kazakhstan?

300

This type of bond involves the sharing of electrons.

covalent bond

300

complete today's globle in 10 guesses or less 

-

400

Find, in the form

y=ax^2+bx+c

, the equation of the quadratic whose graph touches the x-axis at 4 and passes through (2, 12)

y=3x^2-24x+48

400

Describe the sequence of transformations that maps 

y=sqrtx

to 

y=4sqrt(-x)+2

vertical stretch by factor of 4, reflect in y axis, and shift up 2 units 

400

Write as a log base 3 and simplify.

log_9(t)

log_3(t)/log_3(9)

=

(log_3(t))/2

=

(1/2)log_3(t)

=

log_3(sqrtt)


400

Come up with an equation for this function in the form

y=acos(bx)+c

y=-2.5cos(3x)+4

400

pi/3

400

This Lady Bird and Little Women director helmed the 2023 hit Barbie starring Margot Robbie and Ryan Gosling.

Who is Greta Gerwig?

400

This actress played Buffy Summers, the titular vampire slayer in the hit series Buffy the Vampire Slayer.

Sarah Michelle Gellar

400

This island nation is the world’s smallest by land area and is located in the Mediterranean Sea, south of Italy.

Malta

400

This country has won the most FIFA World Cups in men’s soccer history.

Brazil

400

complete today's nerdle in 3 minutes or less

-

500

Given

(k - 1)x^2 + 2x + (2k - 3)

, where k is a real number, has real distinct roots, find k

1/2<k<2

500

f(x)=x-2

 and

g(x)=ax+b

 Given that, find a and b

f(g(2)) = -3 and g(f(1)) = 5, 

a=-2, b=3

500

Solve, express your answer in terms of ln2 and ln7

14^(6x)=64^(x+3)

500

Find the least POSITIVE value of x for which 

cos(x/2+pi/3)=sqrt2/2


x=(17pi)/6

500

500

This Academy Award-winning director of The Shape of Water also brought the dark fairy tale Pan's Labyrinth to life.

Who is Guillermo del Toro?

500

This writer and director created the 1990 mystery drama Twin Peaks, known for its surreal storytelling and cult following.

David Lynch

500

This country in the Horn of Africa is the only one in the world that has a coastline along both the Red Sea and the Gulf of Aden.

Somalia

500

This Russian novelist wrote Crime and Punishment and The Brothers Karamazov.

Dostoevsky

500

complete today's guessten

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