The graphs of the functions y= f(x), y g(x), and y h(x) are shown below. Each function is transformed into y = f(x), y = /g(x), and y= /h(x), respectively. %3D Diagram 1 Diagram 2 Diagram 3 y (4.4) (4. D 10 10 8 10 (4.-4) The number of invariant points on the original graph and its transformed graph for Diagram 1 is Diagram 2 is Diagram 3 is

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results

Q: Use a transformation of the graph of y=x* to graph the function. h(x)=4-(x-2)4

A:

Q: 8. Sketch the graph of the combined function of y = (g - f)(x) for the following functions of f(x)…

A: From given fig.we can write g(x) = 1- |x|      and    f(x) = x^2-4 .

Q: What is the vertex of the graph of the function below? f(x) = x² - 4x O a O b O C O d (2,4) (0, 0)…

A: Option D is true

Q: The figure shows the graph of f. If F' = f and F(0) = 2, find F(b) for b = 1, 2, 3, 4, 5, 6. F(1) =…

A: The given figure

Q: The graph of a function g is given.   The x y-coordinate plane is given. A function begins at the…

A:

Q: Explain how the following functions can be obtained from y = by basic transformations. Complete…

A:

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

Q: Use graphical addition to sketch the graph of f + g. y y f+g 2 f 2 2 f+g g 4 4 4 6 6 6 8 8 X 2 2 f+g…

A:

Q: 4. For the function f(x) = -(x+2)? +3 3. a. State the parent function b. List the transformations c.…

A:

Q: (f) Identify the absolute maximum. Enter as a list or ordered pairs. (g) Identify the interval on…

A: From the graph we can write the increasing and decreasing intervals for the given function.

Q: Graph the linear function y 3x + 4. %= -

A: Here given the equation of the line  y=-3x+4 Thus  slope = -3 y - intercept = 4 x- intersept (put…

Q: aphoryf jappears t Determine the key features of the function f(x) = 10+¹ +5. Identify the…

A: According to our guidelines,i can solve only first please reroute the remaining question.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.