Roots/Zeros
What are the solutions of the quadratic equation
y = x2 + 4x - 12
x=-6 and x=2
What is the vertex of y = x2 - 6?
100 Point Bonus: Is this a minimum or maximum?
(0,-6)
Minimum
You throw a fish off a dock into the water, given by the equation y = -x2 + x + 6, where x is seconds and y is inches. How high is the dock?
100 Point Bonus: When will the fish next be 6 inches above the water?
6 inches high
After 1 second
Factor x2 + 3x + 2
(x+1)(x+2)
Albany
What are the roots of y = x2 - x - 42?
x=-6 and x=7
What is the vertex of y = 3x² - 24x + 54?
100 Point Bonus: Is this a minimum or maximum?
(4,6)
minimum
You throw a delicious salmon off a boat into the water, given by the equation y = -x2 + 2x + 4, where x is seconds and y is meters. How high is the dock?
100 Point Bonus: What is the maximum height the salmon will reach?
4 meters
5 meters
Factor y2 + 7y + 10
(y+2)(y+5)
What are the zeros of y = -x2 - 16x - 64?
x=-8 only
What is the vertex of y = -2x² - 8x - 10?
100 Point Bonus: Is this a minimum or maximum?
(-2,-2)
Maximum
You jump up from the ground a certain number of feet to dunk a basketball. Your dunk takes 3 seconds, and follows the equation y = -x2 + 5x. How high is the basket?
6 feet high
What is the fully factored form of x2 + 9x - 22?
(x+11)(x-2)
What's the longest river in the United States?
Name the solutions of the function f(x) = -x2 - 4
No solutions
Derek throws a ball up into the air, and finds that its equation is y = -10x2 + 40x, where y is height in feet, and x is seconds. What is the maximum height the ball will reach?
100 Point Bonus: When will it hit the ground?
40 feet
4 seconds
An alien spaceship falls y meters from the sky, following the equation y = -16x2 + 144, where x represents seconds. When will the spaceship land?
After 3 seconds
Express x2 - 3x - 40 as a product of two binomials
(x-8)(x+5)
What math class will you take after Algebra I?
Geometry
Calculate the distance between the two roots of the following function:
g(x) = x2 - 13x + 42
13 units
Rhiana throws a ball up into the air from a platform, and finds that its equation is y = -10x2 + 40x + 8, where y is height in feet, and x is seconds. What is the maximum height the ball will reach?
100 Point Bonus: How high is the platform?
48 feet
8 feet
A frog jumps off of a ledge onto a leaf. Tthe equation of its jump is F(t) = -5t2 + 30t + 15, where t represents seconds and F(t) represents height in centimeters. It lands on the leaf after 5 seconds. How high is the leaf?
100 point bonus: How high is the ledge?
40 centimeters high
15 centimeters high
Factor the following trinomial completely:
x2 - 14x + 48
(x-6)(x-8)
In what mountain range would you find the mountain with the tallest peak?
100 Point Bonus: Name the mountain
The Himalayas
Mount Everest