Identify the A.O.S., the vertex, the max or min value, the domain and the range for:
y=-x^2 + 6x + 5
What is
x= 3, (3, 14), max at 14, D=all real numbers, R y is less than or equal to 14
100
The value needed to complete the square:
x^2 - 5x + _______
What is
25/4
100
The value of i^2
What is
-1
100
b^2 - 4ac
What is
The discriminant
100
The name of the graph from a quadratic function.
What is
A parabola
200
Identify the A.O.S., vertex, max or min value, domain and the range for:
y=-3(x+2)^2 + 1
What is
x=-2, (-2,1), max at 1, D=all real numbers, R=y is less than or equal to 1
200
Solve using square roots:
5x^2 - 50 = 0
What is
x = plus or minus the square root of 10
200
The absolute value of /5-12i/
What is
13
200
A value that equals zero for the discriminant
What is
1 real solution
200
the square root of negative one
What is
i
300
The standard form of a quadratic function from the following points:
(1,0) (2,-3) (3,-10)
What is
y=-2x^2 + 3x -1
300
The perfect square trinomial formed by competing the square for the following:
x^2 + 10x
What is
(x+5)^2
300
(-2 + 5i) - (-8 - 12i)
What is
6 + 17i
300
Find the solutions:
y = x^2 - 7x + 12
What is
x = 3 or 4
300
Find the solutions to the system:
y = -x^2 + 5x + 6
y = x + 6
What is
(0,6) (4,10)
400
A rocket flying is modeled by the following function:
h=-16t^2 + 150t + 1. Find the maximum height to the nearest tenth of a foot and the time it takes to reach this height to the nearest hundredth of a second.
What is
352.6 feet in the air at 4.69 seconds
400
Solve by completing the square:
x^2 - 10 = 4x
What is
x = 2 plus or minus the square root of 14
400
(-2 - 3i)(5 + 4i)
What is
2 - 23i
400
Solve the following:
y = -2x^2 - 3x - 3
What is
-3 plus or minus i square root 15 all divided by 4
400
Find the solution to the system:
y = x^2 - 4x + 5
y = -x^2 -5
What is
There is no solution
500
A model for a company's revenue from selling a software package is R=-2.5p^2 + 500p where p is the price in dollars of the software. This price maximizes the revenue. Find the maximum maximum revenue.
What is
The price is $100 for the package and the revenue would be $25,000
500
Rewrite the equation in vertex form by completing the square:
y = 2x^2 + 4x - 5