Which of the following is the equation of the function below y 2csc brainly. 5(x + 2π).
Which of the following is the equation of the function below y 2csc brainly. Therefore, the correct answer is option 1 with the simplified inner value being 4. Get FREE, expert-verified math homework help with step-by-step solutions on Brainly. The graph is 2π periodic. This equation properly reflects the vertical stretch, horizontal shift, and vertical shift indicated in the original function. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. You can also get a better visual and understanding of the function by using our graphing tool. Dec 9, 2024 · Find the equation of the vertical asymptotes of the trigonometric function below in general form (for all real values of x). By critically observing the graph shown above, we can logically deduce that it represents the graph of a cosecant function with the following key features; Jun 28, 2024 · The equation of the graph, given the movement on the graph would be B. What is Graph? In elementary mathematics, term "graph" denotes a plot or a function graph. y = 0. Report your answer as a decimal and round to three decimal places. The equation of the graph is option (c) i. Option A is the correct equation as it appropriately represents the transformations of the cosecant function with a vertical stretch of 2 and proper horizontal and vertical shifts. csc(θ) = 2 Find all the correct answers. One of the major issues in graph theory is the concept of isomorphism. 5 csc [0. To determine the equation of the function described, we will analyze the general form of a cosine function, which can be expressed as: y = acos(b(x + c))+ d Here, a is the amplitude b affects the period of the function c represents the horizontal shift d is the vertical shift Step 1: Determine the Vertical Shift (d) To find the vertical shift, we need the maximum and minimum values of the Among the given options, the correct equation for the function is B: y = 0. When comparing the two candidate equations, the first option clearly becomes a simpler and standard form that matches typical function transformations. Simplify the argument of the cosecant. 5(x + 2π)] − 1. Study with Quizlet and memorize flashcards containing terms like What is the range of y = csc(x)?, Which of the following is an asymptote of y = csc(x)?, How is the graph of y = csc(x - 6) transformed from its parent function? and more. Simplify and solve the following trigonometric equation: \ [ \csc^2 (x) - 2\csc (x)\cot (x… - brainly. Different graph equations are used to express the graphs. The graph has vertical asymptotes at x = ±nπ The graph touches the line y = 3 at (π/2, 3) and (-3π/2, 3). y = csc (x)/2 The graph has the following key features: The x-axis ranges from -2π to 2π with an interval of π/2 units. Additionally, from our simplification, the coefficient inside the csc function is 4. This option accurately represents the secant function with the appropriate vertical stretch and phase shift. This function features an amplitude of 0. , fourth derivatives, as well as implicit differentiation and finding the zeros/roots. 5 ⋅ 2π = 2x + 4π. The Explore math with our beautiful, free online graphing calculator. A graph, in the language of mathematicians, a set of points and connections between some subset of those points (which may empty). Click here 👆 to get an answer to your question ️ Which of the following is the equation of the function below? y=2csc [2 (x+π )]-2 y=0. Write the simplified function. By comparing the provided options with the given equation, you can see that the ideal match is option d) y = 2sec (x + pi/6) + 2. Jun 28, 2024 · The equation of the trigonometric function graphed below is: C. There are 2 steps to solve this one. com Aug 5, 2019 · Explanation To determine the vertical asymptotes of the function y=csc(x), we start by recognizing that the cosecant function is defined as the reciprocal of the sine function: This means that the cosecant function is undefined wherever the sine function is equal to zero, because division by zero is not permissible. Notice that inside the cosecant we have 2(x+x) = 2(2x) = 4x. This equation includes horizontal and vertical shifts and scaling factors. This matches the phase shift and amplitude seen in the graph. 5: 0. So, A = 2. 5 (x + π/2)] - 1 which is solve below. See additional terms and conditions for Chegg Study and Chegg Study Pack on Chegg. Each transformation has been accounted for in the original expression. 1 meters. 6(x+ 2π)] − 1, we should rearrange it into the standard form of a trigonometric function equation, which is typically something like: y = A ⋅ csc(B (x− C))+ D Here's how we identify the various parts of the function: Identify the Amplitude (A): The coefficient in front of the cosecant function is 2. In this simplified May 14, 2019 · To find the equation of the function, we calculate the amplitude, period, phase shift, and vertical shift from the graph. This is because, in this equation, both the coefficient of **sec (which is 2), **the argument inside sec (which is x + pi/6), and the Jul 31, 2020 · Options A, C, and D are equations of quadratic functions, while Option B is a linear equation. Use a calculator to solve the following equation for θ on the interval [−π/2,π/2]. Inside the csc, we have 0. Therefore, the first equation simplifies to y = 2csc(4x)−2. The x-axis represents time in seconds, and the y-axis represents the height of the mass in meters. Apr 2, 2025 · We start by simplifying the first candidate equation. Determine the Thus, the equation becomes: y = 2csc(4x) − 2. The correct equation is given as y = 0. The other options do not match the characteristics of the function in question. Since the second option does not simplify to this form, the function that matches the graph is given by the first equation. The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation h = 3sin (pi/2 (t+2))+5. 5, a period of 2π, a phase shift to the left of 2π, and a vertical shift down by 2. Substitute the simplified argument back into the original function: y = 2csc(2x + 4π)− 1. Solve algebra, geometry, calculus, and more - ask your question and learn faster! Jun 30, 2022 · To determine which of the given equations could be the correct representation of the function y = −3sin(2(x + π)) + 2, we should analyze the provided options by comparing their structures and coefficients. Analyze the cosecant function properties: The general form of a cosecant function is $$y = A\csc (B (x-C)) + D$$y = Acsc(B(x−C))+D The amplitude $$|A|$$∣A∣ is 2. 5csc[0. Provide your answer below: θ = ? Radians. Graph equations are equations in graph theory in which the unknowns are graphs. The following graph's equation is y = csc (x) + 2. ' According to the problem at hand, We now know that the periodicity of a. Step 1. 5sec [2 (x+π )]-4 y=0. Which one of the following is the particular solution to the differential equation dy/do=-y^2csc^2x if y=1 when x=pi/4? In the given question, we are required to identify the function that matches with the given equation y = 2sec (x + pi/6) + 2. Distribute 0. 5 ⋅ csc(0. 5(x + 2π)]− 1. Therefore, possible correct answers among the given options include A, C, and D depending on the context of the question. 5(x + 2π). If the equation y = A csc (B (x + C)) + D Amplitude is A, the Amplitude is May 14, 2025 · We start with the function y = 2csc[0. This equation summarizes the transformations of the basic cosecant function based on the observed features of the graph. Apr 16, 2021 · The correct equation representing the graph is Y = 3cos(x − π) because the function starts at its maximum value of 3, characteristic of cosine functions. The original equation is y = 2csc[2(x+ x)] −2. 5cos(4(x + 2π)) − 2. 5(x + 2π)) − 1 which corresponds to option 3. Express your answers as a single equation in terms of k. e. 5⋅ x + 0. The graph shows that the mass oscillates up and down around the equilibrium position with an amplitude of 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Step 2. Thus, the equation of the function can be written as y = 2csc(2x + 4π Oct 3, 2024 · The equation of the provided function is y = 2csc[0. The Derivative Calculator supports solving first, second. Nov 15, 2024 · To find the equation of the given function y − 2csc[0. com. csc (bx + c) + d = period yo csc x/b csc (x) has a periodicity hi again lol follow my gram loser <3 @2kkink same @ on my twitter Learn with flashcards, games, and more — for free. 5cs Apr 15, 2021 · The correct equation that matches the function given is y = 2csc [2 (x + π)] - 2. Which of the following is the graph of this equation? This answer is FREE! See the answer to your question: 1. Jun 5, 2022 · The correct equation of the function from the options provided is y = 2sec(x + 6π) + 2. The y-axis ranges from -2 to 6 with an interval of 2 units. xi4gq lw9 x5jsffm 2tu rwd6vm fftfd tqk 5ehai wr icsufa