For f(x) = (x - 2)² + 4, do the following. a) Sketch a graph of the equation. b) Identify the vertex. c) Compare the graph of y = f(x) to the graph of y=x². (State any transformation used.)

Q: Write the equation of the translation and reflection of f(x) =|x| as illustrated in this graph:

A: Given, f(x) =|x| The graph of f(x) =|x| is as shown below :

Q: For the transformed function y = -x-2 + 1: a. State the parent function. b. Describe all the…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…

Q: For problems 19 & 20, let f(x)=2x-3, g(x)=4x-2, and find the following. 19. f(2)+g(3) 20. (f+gXD)…

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Q: Consider the following. y = (x − 6)2 + 1 (a) Tell how the graph of  y = x2  is shifted.

A: Please look at the graph below:

Q: b. Reflected over the x-axis, vertical compression of 2/3 and moved up 5

A: Here we have to write the equation of quadratic transformation of " Reflected over the x-axis,…

Q: Given the graph of pre-image and image, write the coordinate transformation in function notation. A'…

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Q: Given the graph of f (x), which of the following is the graph of h (x) = -f (2 (x +1)) + 2 ? f(x) А.…

A: Solution...

Q: The graph of f(x)= Jx is stretched vertically by factor 3, reflected in the y-axis, and the…

A: Given: Base curve f(x)=x and transformations are  i) Vertical stretch by a factor 3 ii) Reflection…

Q: Sketch the graph of f(x.y) = 5x +3y - 15. State the domain and range of the function Which of the…

A: Given the equation of the plane fx=5x+3y-15 which can be written as z=5x+3y-15. Take arbitrary…

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

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Q: 4. Graph the function using transformations: y = -2vx + 3 +6 10 Key Points graphed: (x,y) → a. 4 b.…

A: (a) It is given that the function y=-2x+3+6. Give arbitrary value of x and find the value of y…

Q: Sy > x +1 Graph: y < - x + 2

A: We have to graph the following-

Q: Ay (6, 0) (3, 0) 16 2 4 -16 (1, 0) -32 W (5, –40)

A: