Question

c Pear e . soc 0 Search the web... soc Log Stuc Ca pa Gw Winx wha https://www.webassigr.net/web/student/Assignment Responses tast?dep=22591888#03 → - 1.38 points LARCOLALG10 2.5.024. The function is related to one of the parent functions described in an earlier section o(x) = -(x + 2) (a) Identify the parent function f. FOX) - too. (Select all that apply) (b) Describe the sequence of transformations from horizontal shift of 2 units to the left vertical shrink vertical shift of 2 units downward C horizontal shrink reflection in the x-axis (c) Sketch the graph of . O Type here to search

Answer 1

• Here, I will first give a briefing about the types of elementary transformations.

  They are SHIFTING,SCALING,REFLECTING.

  in shifting: The shape and size are not affected just the location of the graph changes.Its either a horizontal shift( adding or subtracting a constant from every x - coordinate leaving the y- coordinate unchanged) Or a Vertical shift(adding or subtracting a constant from every y-coordinate leaving the x- coordinate unchanged)

  In scaling: Here, shape and size are altered.Its either a horizontal scaling( multiplying or dividing every x - coordinate by a constant and leaving the y- coordinate unchanged) Or a Vertical scaling(multiplying or dividing every y-coordinate by a constant and leaving the x- coordinate unchanged)

  Remember y coordinate is nothing but f(x) component.

  Reflection: A function can be reflected about x - axis by multiplying f(x) with -1 to get -f(x) and it can be reflected about y-axis by multiplying every x with -1 to get -x.

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