2.1 Rectangular Coordinates and Graphs
A(n) ______ consists of two components, written inside parentheses.
What is an Ordered Pair
The Center radius form of a circle.
What is (x-h)2+(y-k)2=r2
Is the following relation a function (3,-1), (4,2), (4,5), (6,8). If yes state domain and range in interval notation.
What is no, x repeats.
Write an equation of the line through the pont (-4,1) having a slope of -3.
What is y= -3x - 11
Describe the continuity of a quadratic parent graph. Make sure your answer is in interval notation.
What is (-infinity,infinity)
find the distance and midpoint of the coordinates.
(-5,-6),(7,-1)
What is the distance=13 midpoint=(1,-7/2)
There are how many points on the graph of x2+y2=0 and it/they are what coordinates.
What is one point at (0,0).
Find g (1/3) if g(x)= -x2+4x+1
What is 3.
What is the equation for a horizontal line through the point (a,b)
What is y = b
Draw an example of origin symmetry.
What is a circle
Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint.
midpoint (5,8), endpoint (13,10)
What is (-3,6)
Find the shortest distance from the origin to the graph of the circle with equation x2-16x+y2-14y+88=0
What is the square root of 113 minus 5.
Put x+3y=12 into function notation.
What is f(x)=-1/3x+4
Find the slope of the line through (-4,8) and (2,-3)
What is -11/6
DAILY DOUBLE
Give the equation of the greatest integer function.
What is f(x)= [[x]]
Determine whether the 3 points P,Q,R are collinear.
P(0,9),Q(-3,-7),R(2,-15)
What is not collinear.
Decide whether or not the equation has a circle as its graph, if it does give the center and radius, if it doesn't describe the graph.
The equation is 9x2=9y2-6x+6y-23=0
What is yes; center: (1/3, -1/3); radius 5/3
DAILY DOUBLE
Name the point that the cubic function parent graph is increasing using interval notation.
What is (0,infinity)
Write an equation in both slope-intercept and standard form of the line that passes through the point (3,5)
What is y= -2/5x + 4/5 and 2x + 5y = 4
Determine whether the graph of the equation is symmetric with respect to the origin axis.
x2 + y2 = 16
What is yes
Determine whether the three points P,Q,R are the vertices of a right triangle.
P(-6,-4),Q(0,-2),R(-10,8)
What is yes.
DAILY DOUBLE
Find the coordinates of all points whose distance from (1,0) is the square root of ten and whose distance from (5,4) is the square root of ten.
Hint: Put in center radius form first!!!
What is (2,3) and (4,1).
The domain of a square root function parent graph.
What is (0,infinity)
In 2009, Cooper spent $2,800 on cheeseburgers. In 2013, Cooper spent a whopping $8,000. Assume a linear relationship, and find the average rate of change in the amount of money spent on cheeseburgers.
What is $1,300
If a>1, is the graph a representation of a vertical shrinking or vertical stretching?