Miscellaneous
What is the equation for the cubic parent functions that has been reflected across the x-axis, shifted 2 units left and 3 units down?
f(x) = - (x + 2)3 - 3
What is the first thing you should always do when you open a Pyret file?
Click Run
What is the vertex of f(x) = -2(x + 3)2 -5
(-3, -5)
Factor: x2 -5x - 6
(x-6)(x+1)
What are 3 other words for x-intercepts?
Solve the following system by substitution:
x + 2y - 3z = 4
2x - z = 8
2z = 8
(6, 5, 4)
What is a contract?
A contract is like a recipie for how to type something into Pyret so that it can make something for you.
What is the standard form of f(x) = -2(x + 3)2 -5?
f(x) = -2x2-12x-23
Factor: 25x2y2 - 196
(5xy-14)(5xy +14)
Find the domain and range. List in set notation:
f(x) = (x - 3)2 +3
D: {all real numbers}
R: {y>=3}
What is the equation of a line that passes through the point (3, -5) and (-6, 1)?
y = -2/3x -3
Write code to place your name inside a shape with 3 arguments.
Example: overlay(text( "Name",50, "purple"), triangle(300, "outline","purple"))
Solve by taking square roots: 4x^2 - 7 = 29
3, -3
Factor: 12x2 + x - 35
(3x-5)(4x+7)
How do we know how many solutions there are to this equation: 5x4 + 3x3 - x2 +2x - 7 = 0
Highest exponent is 4 so 4 solutions.
i42
-1
What is the difference between fit-model and lr-plot?
Fit model is where I choose the information (which is often limited) to obtain a model and lr-plot is where Pyret uses ALL of the information to obtain a model.
Solve by completing the square: 2x2 - 20x + 89 = -87
5 ± 3i√7
Solve by factoring: 6x2 - 15x = 9
-1/2, 3
Find the domain and range. List in interval notation:
f(x) = (x + 1)2 + (y - 2)2 = 9
D:[-4, 2]
R:[-1,5]
Simplify: (2 + 3i)(-4 + i)
-11 - 10i
S stands for the Standard Deviation of the residuals. It is a measure of how well the data fit the model. The closer it is to zero, the better the model is. S is measured in units of the dependent variable (y value).
Solve using the Quadratic Formula: 3x2 = 3 - 42x
-7 ± 5√2
Solve: 2x(x+7)(x-3)2 = 0
0,-7,3,3
What is the domain and range of this piecewise function:
f(x) = { 2x+3 , x>4
- x + 1, x < 4
D: (-inf,4) U (4, inf)
R: (-3, inf)