Quadratics
In the equation: y = ax², what does a determine in terms of transformation?
How “wide” or “narrow” this shape is
What is a number that cannot be written as a fraction called?
Irrational Number
What is a network with edges that have numbers on them called?
A weighted network
What is a sequence that increases by the same amount each time called?
Arithmetic Sequence
In linear programming, what is the shaded region that satisfies all inequalities called?
The feasible region
The x-intercepts of a quadratic are also known as?
The roots (or solutions)
Rationalize 1/√3
√3/3
What is a path that uses an edge only once called?
A trail
The formula tn = a + (n−1)d belongs to which type of sequence?
Arithmetic
The point (0, 5) is called this type of intercept
y-intercept
The vertex of y = (x − 3)² + 2 is this point.
(3, 2)
Simplify √45 - √5
2√5
What is a trail that uses every edge exactly once called?
Euler trail
The next term of the sequence: 3, 9, 27, 81, __.
243
The inequality y≤−2x+3 shades this side of the line.
Below the line
The vertex form of a quadratic is written like this.
y = a(x − h)² + k
Combine: 3√6-2√6+√6
2√6
Direct graph
A geometric sequence has t1=18, t3 = 2. Find r.
r = +-1/3
If the constraints are x≥2 and 3y≥3, the feasible region is located in this section of the plane.
To the right of x = 2 and above y = 3
How does the transformation from y = x² to y = 3(x + 2)² − 7 shift the graph?
Left 2 units, up 7 units, vertically stretched by factor 3
Rationalize: 5/(√2+√3)
5√3-5√2
In a weighted network, what is the algorithm commonly used to find the shortest path between nodes called?
Dijkstra’s algorithm
Solve for n: In the sequence tn=10+4(n−1), the term equals 82.
n=19
A factory produces chairs (x) and tables (y). Each chair takes 2 hours, and each table takes 4 hours. You have 40 hours. Write the time constraint.
2x+4y≤40