Fun with Conic Equations
What is the shape of the following?
y = -(x+3)2 +7
A Parabola
Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)} , and why or why not?
Algebra:
No, because there are two points with the same x-value.
This would not pass the vertical line test.
Algebra: What is the point-slope form of a linear equation:
Algebra: y - y1 = m(x - x1)
Find the x- and y-intercept of the
line 2x + 3y = –18
x-intercept is –9; y-intercept is –6.
In what country was Mr. Fitz born?
(Bonus points awarded, if you can name the city.)
Fukuoka, Japan
What is the shape of the following?
(x+3)2 + (y - 4)2 = 100
A Circle
Write the polynomial in standard form
4g – g3 + 3g2 – 2
-g3 +3g2 + 4g - 2
What property is shown: 7 + x = x + 7
Commutative Property of Addition
Algebra: What is the slope intercept formula?
algebra: y=mx+b
How many children does Mr. Fitz have?
3
What is the shape of the following?
(x+3)2/4 + (y - 4)2 = 100
An Elipse
Algebra: Solve for a: ax + b = c
Algebra: a = (c - b)/x
How do we know when to use "permutations" instead of "combinations" when calculating how many ways an event can happen?
When order matters, we use permutations.
Write the "explicit formula" for the following Geometric Sequence:
5, 10, 20, 40, 80, ...
an = 5(2)n-1 or an = (5/2)(2)n
How many grandchildren does Mr. Fitz have?
1
What is the shape of the following?
(y - 5)2/16 - (x + 8)2/64 = 1
a hyperbola
Simplify: a(b - c) - 2a(c + b)
-1ab - 3ac
How many ways can you arrange the following letters in order to make a "different" arrangement.
A A B C C C D D D D
12600
Write the "recursive formula" for the following Geometric Sequence:
5, 10, 20, 40, 80, ...
an = an-1(2)
What college did Mr. Fitz get his Bachelor's degree?
UNLV
What is the shape of the following?
(x - 5)2 - (y + 7)2 = 36
a hyperbola
Expand and write this as a polynomial in standard form.
(x+2)5 =
x5 + 10x4 + 40x3 + 80x2 + 80x + 32
What is the formula for the discriminant of a quadratic equations.
b2 - 4ac
Assuming that all variable represent positve integers, simplify the following:
(5a2b3c5 - 3a2c4 + 2a2b3c5 + a2c4)0
1
Anything raised to the zero power = 1
This year Mr. Fitz will be celebrating his what wedding anniversary?
(Note: Looking for the number of years, as the answer.)