Graphing
Square Roots
Quadratic Formula
Discriminant
100
Identify the equation of the axis of symmetry for the following equation: y = (x - 5)(x + 4)
x = 1/2
100
Solve 5(x - 6)^2 = 30 Round to the nearest hundredth
8.45 and 3.55
100
Use the quadratic formula to solve x^2 - 2x - 15 = 0
-3, 5
100
Tell whether the equation 3x^2 - 7 = 2x has two solutions, one solution, or no solution.
Discriminant is positive, therefore there are 2 solutions (roots)
200
Identify the following quadratic equation's vertex as a maximum or minimum. -x^2 + 8 = 7x
Maximum
200
A pebble is dropped from a bridge that is 100 feet above the surface of a river. After how many seconds does the pebble hit the water? Use the vertical motion model h = -16t^2 + vt + s to write an equation for the height h (in feet) of the pebble as a function of the time t (in seconds). In this case, v = 0 and s = 100.
2.5 seconds
200
Use the quadratic formula to solve the equation. Round to the nearest hundredth. 5n^2 - 7n = -1
0.16 and 1.24
200
What is the value of the discriminant in 5x^2 - 7x - 2 = 0?
89
300
Graph the function. Identify the vertex and the axis of symmetry. y = x^2 - 7x + 12
(3.5, -.25); Solutions at 3 and 4
300
Solve 3x^2 + 7 = 4
No solution
300
For the period 1990-2000, the amount of money y (in billions of dollars) spent on advertising in the US can be modeled by the function y = 0.93x^2 + 2.2x + 130, where x is the number of years since 1990. In what year was 164 billion dollars spent on advertising?
1995
300
The amount y (in milliliters per gram of body mass per hour) of oxygen consumed by a parakeet during flight can be modeled by the function y = 0.06x^2 - 4x + 87, where x is the speed (in kilometers per hour) of the parakeet. A. Use the discminant to show that it is possible for a parakeet to consume 25 mL of oxygen per gram of bady mass per hour. B. Find the speed(s) at which the parakeet consumes 25 mL of oxygen per gram of body mass per hour. Round your solution(s) to the nearest tenth.
A. Since the disriminant is positive (1.12), we know that it is possible to consume 25 mL of oxygen per gram of body fat per hour. B. 24.5 km/h and 42.2 km/h
M
e
n
u