What's The Point?
What is the vertex of f(x)=(x-6)2-9?
(6, -9)
Find a(3): a(n)=2-5(n-1)
You may not use a calculator.
a(3)=-8
Which way does the graph of y=-(x-3)2+4 open?
Down
Find when y=-13: y=2-5(x-1)
x=4
This famous Greek mathematician, and author of The Elements, is known as the “Father of Geometry.”
Euclid
What are the x-intercepts of f(x)=-2(x-1)(x+3)?
(1, 0) and (-3, 0)
Find when x=4: y=-11(x-1)-11
You may not use a calculator.
y=-44
What is the y-intercept of y=x2-6x+5?
(0, 5)
Find when y=7: y=2/3(x-6)+1
x=15
This famous English mathematician is often credited as the inventor of calculus also had a deep interest in alchemy, spending many years of his life conducting secret experiments in the hope of discovering the fabled Philosopher’s Stone.
Sir Isaac Newton
What are the zeros of the equation f(x)=x2+8x+15?
x=-3, x=-5
The amount in a bank account that has $1500 deposited in January and earns 6% monthly interest is represented by d=1500(1.06)m where m is the number of months after January. How much is in the account 3 months after January? You may use a calculator.
$1,786.52
What is the x-intercept of g(x)=-2/3(x-6)+1?
(15/2, 0)
Find when y=11: y=2|x-1|+5
x=-2, x=4
This famous mathematician and philosopher developed the Cartesian coordinate system in the 17th-century.
René Descartes
What is the y-intercept of g(x)=-8(1/2)x-1
(0, -16)
The trajectory for a launched balloon is h(t)=-16t2+24t+16 where h is the balloon's height and t is the time in seconds. What is the balloon's height at 1 second? You may not use a calculator.
24 feet
What is the y-intercept of y=-2(x-1)(x+3)?
(0, 6)
Find when y=-3: y=x2-6x+5
x=2, x=4
Also known as Leonardo of Pisa, this famous Italian mathematician is best known for discovering a sequence where each number is the sum of the two previous numbers.
Fibonacci
What is the vertex of h(x)=x2-6x+5?
(3, -4)
A soccer ball's motion through the air after being kicked is modeled by h(t)=-16t2+64t where h is the height in feet and t is the time in seconds. How long will the ball stay in the air? You may not use a calculator.
4 seconds
What is the vertex of y=-2(x-1)(x+3)?
(-1, 8)
Find when y=-12: y=-(x-3)2+4
x=-1, x=7
This famous German mathematician has a rival claim to Sir Issac Newton as the inventor of calculus.
Gottfried Wilhelm Leibniz