8:59ull1 ClassroomInvestigation: The Effects of parameters "a", “b",and " on the Graph ofy = a(x – r)(x – s)Group Members:Investigation #1: The Effect of Parameter “a"Click on the link Factored Form Investigation #1Activate Slider "a" while keeping slider "r" = 0and slider "s" = 0Determine the effect it has on the graphcompared to the graph of y = x· =N y- alx-r)(x-)O a-1Questions:1. As the a-value increases from 1 to 10, the graph ofy = a(x – r)(x – s) becomes(narrower/wider) compared to the graph y = x2. For a-values between 0 and 1, the graph ofy = a(x – r)(x – s) becomes(narrower/wider) compared to the graph y = x3. What happens to the direction of opening for thequadratic y = a(x – r)(x – s)A. a > 0 The graph opensB. a < 0 The graph opens(up/down)(up/down)4. Think back to the Standard Form Investigation Lab.Do you see a connection between the “a" values ineach form (do they contribute the same or similar effectto the graph of y = x')? Explain your thoughts.

ACCORDING TO BARTLEBY GUIDELINES, SOLUTIONS OF FIRST THREE SUBPARTS WILL BE PROVIDED. Given:

Investigation: The Effects of parameters “a", “b", and "c" on the Graph of y = a(x – r)(x – s) Group Members: Investigation #1: The Effect of Parameter "a" Click on the link Factored Form Investigation #1 Activate Slider "a" while keeping slider "r" = 0 and slider "s" = 0 Determine the effect it has on the graph 2 compared to the graph of y = x 10 Questions: 1. As the a-value increases from 1 to 10, the graph of y = a(x – r)(x – s) becomes %3D - (narrower/wider) compared to the graph y = x 2. For a-values between 0 and 1, the graph of y = a(x – r)(x – s) becomes - - (narrower/wider) compared to the graph y = x = x² 3. What happens to the direction of opening for the quadratic y = a(x – r)(x – s) A. a > 0 The graph opens B. a < 0 The graph opens (up/down) (up/down) e 2 O O O

Investigation: The Effects of parameters “a", “b", and "c" on the Graph of y = a(x – r)(x – s) Group Members: Investigation #1: The Effect of Parameter "a" Click on the link Factored Form Investigation #1 Activate Slider "a" while keeping slider "r" = 0 and slider "s" = 0 Determine the effect it has on the graph 2 compared to the graph of y = x 10 Questions: 1. As the a-value increases from 1 to 10, the graph of y = a(x – r)(x – s) becomes %3D - (narrower/wider) compared to the graph y = x 2. For a-values between 0 and 1, the graph of y = a(x – r)(x – s) becomes - - (narrower/wider) compared to the graph y = x = x² 3. What happens to the direction of opening for the quadratic y = a(x – r)(x – s) A. a > 0 The graph opens B. a < 0 The graph opens (up/down) (up/down) e 2 O O O

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 46E

See similar textbooks

Similar questions

The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.
1. using the diagonal, minors & cofactors, and pivotal method.
A rectangle is inscribed in the region bounded by the graph of y= e1-2x^2 and have one of its side lies on the x-axis. What are the dimensions of such a rectangle with the largest possible area?
A rectangle is inscribed in the region bounded by the graph of y= e1-2x^2 and have one of its side lie on the x-axis. What are the dimensions of such a rectangle with the largest possible area?
Two very large tanks A and B are partially filled with 100 gallons of brine each. Initially, 100 pounds of salt are dissolved in the solution in tank A and 50 pounds of salt are dissolved in the solution in tank B. The system is closed, since the well-mixed liquid is pumped only between the tanks as shown in the figure. 1. Use the information in the figure to construct a mathematical model for the number of pounds of salt x1(t) and x2(t) at time "t" in tanks A and B, respectively. 2. Find a relationship between the variables x1(t) and x2(t) that holds at time «t». 3. Explain why this relationship makes intuitive sense. 4. Use this relationship to help find the amount of salt in tank B at t = 30 min.
1. Find the natural cubic spline sN (x) passing through the 3 points (xj, yj) given by (0, 2), (2, 3), and (3, 1).Then evaluate sN (1).
12 help use variation of parameters to finda general solution to the differntial equation given the function y1 and y2 are linearly independent solutions to the corresponding homogenous equation for t>0
1. Find the linearization of x3 − x at a = 2.
Max 1x1 + 1x2 s.t. 5x1 + 6x2 ≤ 41 1x1 + 5x2 ≤ 15 2x1 + 1x2 ≤ 15 x1, x2 ≥ 0 and integer Solve the LP Relaxation of this problem. at (x1, x2) =
Concerned with the number of maintenance visits the rocket can undergo before being out of service, you have been informed that the recent statics show a that after the first journey to the outer space, the rocket was sent to service once, and after that the number of maintenance visits increase by 1 after every journey, for instance, after the second journey, the rocket had to go to service twice before being re-used, three-times after the 3rduse and so on.A. Generate a rule for the number of visits to the maintenance department with respect to space journeys, is this rule arithmetic or geometric.B. How many journeys will it take to for the number of service visits after a certain journey exceed 10?C. The rocket is not to be re-used again if the total number of maintenance visits exceed 50, then how many journeys will a single rocket serve before being out of service?
The average number of customers in the system in the single-channel, single-phase model described in Section 12.4 is L=λ/(μ – λ) Show that for m = 1 server, the multichannel queuing model in Section 12.5, is identical to the single-channel system. Note that the formula for P0 (Equation 12-13) must be utilized in this highly algebraic exercise.
Find the maximum and minimum value of x3+y3-3axy