Quadratics
What is the y-intercept of this equation?
x^2 +4 + 8
8
How do you say this equation?
x > 7
x is greater than 7
Write an equation for this sequence:
x: 0 1 2 3 4
y: 12 10 8 6 4
y = 12 - 2x
What kind of equation is this?
y = 3 + 2x
linear or arithmetic
graph on a number line x > -3
Factor the equation into 2 binomials
x^2 -5x + 6
(x-3)(x-2)
What is the equation for the graph?
https://docs.google.com/document/d/1AZHme5NbXUKqjjfcxi_mYW-UB978I3TQwh3TwwVyrfM/edit
x < 8
Write and equation for this sequence:
x: 0 1 2 3 4
y: -16 -4 -1 -0.25 -0.0625
y = -16 (1/4)x
What kind of equation is this:
y = 2(4x)
exponential or geometric
Graph this:
y = 0.25x + 3
Line begins at 3 and goes up 1 and over 4.
Solve this quadratic equation for x:
x^2 - 3x -28
x = -4 and 7
Give the equation of this graph:
https://docs.google.com/document/d/1ibb6qe1lyGl80WB7iB3zy12PHa1pXQDgPgAYJ9KRx28/edit
y < 1/3 x -2
Give the equation for this graph
https://docs.google.com/document/d/1NHbZvz6g0LCBg8Q3_g-i20wC4FxdhksxgXjq5fdPvZA/edit
y = 21(3)x
What is "a value that you get closer and closer to, but never quite reach"?
asymptote
Graph the equation 4(2x)
Starts at 0,4 and goes up to 1,8, then 2, 16. Down to the left at -1,2
Give the exact vertex of this equation by completing it mathematically (not by graphing on a calculator).
y = (2x+3)(x-4)
1.25, -15.125
What are the 2 equations graphed on this graph?
https://docs.google.com/document/d/1aEPnEyYCH8xN8rl50yhnVemgVP2AKUsZIXIdrDr48ik/edit
y > 4x - 2
y < -0.5x + 5
After Independence Day, the fireworks will be on sale. Each day, they will cost 15% less than the day before. How much will a pack of fireworks that cost $89.00 before the sale cost 4 days after the sale?
$46.46
When interest is compounded this way, you'll get the same amount of interest each term.
simple
x > 2
y < x2 - 9
vertical line at x=5, shaded to the right
parabola with roots -3 and 3, shading outside of parabola
Factor this quadratic equation
3x^2 - 4x +14
x = −0.633975 and −2.36603
The culinary class is making and selling. They will sale cupcakes for $2 each and truffles for $3 each. They hope to make more than $105 but cannot make more than 75 items. Write 2 equations that would solve how many cupcakes and truffles could they sale? Let x = # of cupcakes and y =# of truffles. You do not need to solve.
2x + 3y > 105
x + y <75
Graph:
https://docs.google.com/document/d/1LfXiCzAb8ivk5XaVpCLZB6Z7fIAXlMdpMWKC2PiF3zc/edit
You are planning on getting a law degree. You know your college tuition will start out at $20,000 per year and will go up each year by 9%. At the end of 8 years, how much total will you have paid?
Equations:
Your first year you will pay $20,000
Your 8th year you will pay 20,000(1.09)8 = $39,851.25
Total payments: (1.09(39,851.25)-20000)/(1.09-1) = $260420.69
What does "percent" mean?
Per 100
graph this equation
3y - 1/2 x = 12
Equation can be rewritten as y = 1/6x + 4
The line crosses y axis at 4, goes up 1 and over 6 to (6, 5)