Quadratics
A quadratic function's graph is called this
parabola
Solve
2^x=16
4
The ratio of the opposite side to the hypotenuse in a right triangle.
sine
This Olympic swimmer holds the record for the most gold medals in a single Olympics, winning eight in 2008.
Michael Phelps
This U.S. state has the largest land area.
Alaska
This actress starred in a controversial ad for a clothing brand that referred to “good genes.”
Sydney Sweeney
the highest or lowest point on a parabola is called its
vertex
Condense
2logx-logy
log(x^2/y)
cos(0)
1
This country won the 2022 FIFA World Cup.
this country is the smallest in the world by land mass
vatican city
This rapper's real name is Shawn Carter
Jay Z
Solve
x^2-7x+12=0
x = 3 and x = 4
expand
log(xyz^3)
logx + logy + 3logz
Write tanx as a ratio of two trigonometric functions
sinx/cosx
Known as "The Great One," this hockey player holds the NHL record for the most career goals, assists, and points.
Wayne Gretzky
This country has the longest coastline in the world.
Canada
This actor played Jack Dawson in Titanic.
Leonardo Dicaprio
If the discriminant of a quadratic is zero, this is true about its roots.
The quadratic has one real root (its vertex!)
Solve
9^x=27^(x+1)
x=-3
Consider the function below. State the amplitude and period.
y=4sin(2x)
amplitude is 4, period is pi
This tennis player has won the most Grand Slam singles titles in history.
Novak Djokovic (men) / Serena Williams (women, retired)
This country has the most active volcanoes in the world.
Indonesia
This artist won album of the year at the Grammys 4 times
Taylor Swift
The quadratic below models profit as a function of items sold, x. Find the number of items sold to maximize profit.
P(x)=-5x^2+200x-1500
20 items
Solve
Solve
2sinx-1=0, 0<=x<=360^o
30 and 150
This NFL team has won the most Super Bowl titles in history.
Pittsburgh Steelers / New England Patriots (tie at 6 each)
The highest capital city in the world is located in this country.
La Paz, Bolivia
This 1980 film directed by Stanley Kubrick is based on a Stephen King novel and is famous for the line, "Here’s Johnny!"
The Shining