The parabola y 2 8x is shifted down 2 units and right 1 unit to generate the parabola ( y 2) 2 8(x 1) a Find the new parabolas vertex, focus, and directrix b Plot the new vertex, focus, and directrix, and sketch in the parabola ...

a To find the new vertex of the parabola we can simply add the shift to the vertex of the original p ...

The parabola y 2 = 8x is shifted down 2 units and right 1 unit to generate

Question:

The parabola y² = 8x is shifted down 2 units and right 1 unit to generate the parabola ( y + 2)² = 8(x - 1).

a. Find the new parabola’s vertex, focus, and directrix.

b. Plot the new vertex, focus, and directrix, and sketch in the parabola.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

See More Books

Question Posted: May 07, 2023 02:10 AM

See More Questions

In Prob. 15.9, determine the velocity and acceleration of point B at the instant shown, assuming that the angular velocity is 3.38 rad/s and decreases at the rate of 5.07rad/s2. Sin 12 in 15.6 in...
For the following exercises, use the given transformation to graph the function. Note the vertical and horizontal asymptotes. The reciprocal squared function shifted down 2 units and right 1 unit.
In Problems a-f, find the standard equation of each parabola from the given information. Assume that the vertex is at the origin. a. Focus is at (2, 0) b. Directrix is x = 3 c. Directrix is y - 2 = 0...
In Exercises 8486, use a graphing utility to graph f and g in the same [-8, 8, 1] by [-5, 5, 1] viewing rectangle. In addition, graph the line y = x and visually determine if f and g are inverses....
Naylor Company had $210,000 of net income in 2016 when the selling price per unit was $150, the variable costs per unit were $90, and the fixed costs were $570,000. Management expects per unit data...
Compliance auditing performed under the Single Audit Act of 1984 in accordance with GAGAS is necessary for an auditors a. Report on the auditees internal control, including reportable conditions and...
Match the measures of worth in the first column with the appropriate unit of measure that results from the analysis. Measure of Worth (a) Annual Worth (b) External Rate of Return (c) Future Worth (d)...
Selected transactions for Essex Company during July of the current year are listed in Problem 5-3B. In Problem 5-3B. The following were selected from among the transactions completed by Essex Company...
Supposons un consommateur ayant une richesse W qui est distribue selon une loi de densit de probabilit fw (w). Montrez qu'on peut obtenir une approximation du cot du risque, CR, en utilisant: 1 CRrr...
Refer to section The WH Framework for Business Ethics of Ch. 2, "Business Ethics," of Dynamic Business Law for information on the WH Framework. For this assignment, refer to the scenario located in...
Find the point on the ellipse x = 2 cos t, y = sin t, 0 t 2 closest to the point (3/4, 0).
Include the directrix that corresponds to the focus at the origin. Label the vertices with appropriate polar coordinates. Label the centers of the ellipses as well. r = 400 16 + 8 sin 0
Parametric Technology Corporation (PTC) is a software manufacturer. It develops, markets, and supports software that helps manufacturers improve the competitiveness of their products. PTC provides a...
Describe the process of sequentially performing the following operations on the Fibonacci heap in Fig. 1: decrease-key (7, 1); extract-min(); min 2 0 3 5 9 8 7 6 Fig. 1 b) (10%) Given a Fibonacci...
Charlene is evaluating a capital budgeting project that should last for 4 years. The project requires $600,000 of equipment and is eligible for 100% bonus depreciation. She is unsure whether...
(a) Consider a system with input x(t) and with output y(t) given by +00 y(t) = x(t)(tn) 12=-0 (i) Is this system linear? (ii) Is this system time-invariant? For each part, if your answer is yes, show...
This program is really quite simple. The program will do the following: Ask the user to enter three numbers. . Use input validation to ensure that all three numbers are integers. Multiply each...
Find the homogeneous transformations To1, T02, T12 representing the transformations among the three frames shown in Figure 1. Show in this specific case that T02 actually equals Toi T12- Y2 22 2m 1m...
Why does the researcher need to determine the precedential value of a case?
Write a paper about medication error system 2016.
Find the critical numbers of the function. f(x) = 4x 2 6x
Determine whether Rolles Theorem can be applied to f on the closed interval [a, b]. If Rolles Theorem can be applied, find all values of c in the open interval (a, b) such that f(c) = 0. If Rolles...
Find the two x-intercepts of the function f and show that f(x) = 0 at some point between the two x-intercepts. f(x) = x 2 x 2
Dec. 31, 2025 Sunland Company is as follows. Dec. 31, 2024 Current assets $232,600 $253,500 Plant assets 1,442,500 841,700 Total assets $1,675,100 $1,095,200 Compute the amount and percentage changes...
Month January February March April Pints of Applesauce Produced 117,000 Energy Cost $71,400 75,000 65,700 78,000 68,400 84,000 69,150 May June 102,000 69,900 108,000 70,650 July 132,000 71,100 August...
How Malaysian businesses can leverage cloud technology to survive, scale and grow in the 2023 extinction Digital innovation is one of the factors propelling enterprises?

The parabola y 2 = 8x is shifted down 2 units and right 1 unit to generate

Question:

Step by Step Answer:

a To find the new vertex of the parabola we can simply add the shift to the vertex of the original p...View the full answer

Thomas Calculus Early Transcendentals

Students also viewed these Mathematics questions