I need step by step instructions on the blank problem? Objective #7: Graph functions involving a sequence of transformations. (pp.238-240)A function involving more than one transformation can be graphed by performing transformations in therecalculus 6efollowing order:TransformationsEunctionDraw the grapnh of f and:HorizontalTranslations1y = f(x– h)Shift f to the right h units.y = f(x+ h)Shift f to the left h units.2Horizontaly = f(bx); b >1Horizontally shrink ƒ by dividing each of it x-coordinates by b.Stretching orShrinkingy = f(bx); 0 < b< 1Horizontally stretch ƒ by dividing each of it x-coordinates by b.VerticalStretching orShrinkingy = af(x); a >1Vertically stretch ƒ by multiplying each of it y-coordinates by a.y = af(x); 0 < a<1Vertically shrink ƒ by multiplying each of it y-coordinates by a.3Reflect f about the x-axis by changing the signs of y.Reflectionsy = -f(x)y = f(-x)Reflect f about the y-axis by changing the signs of x.4Shift f upward k units.VerticalTranslationsy = f(x) + ky = f(x) – kShift f downward k units.*To calculate the actual horizontal translation when given af (bx -h) + k, set ḥx – h = 0 and solve.Solved Problem #7Pencil Problem #77. Use the graph of f(x)=x³ to graph7. Use the graph of f(x)=x² to graphg(x)=2(x- 1)² +3.h(x)= (x- 3° - 2.The graph of g is the graph of fhorizontally shifted tothe right 1 unit, vertically stretched by a factor of 2, andvertically shifted up 3 units. Beginning with a point onthe graph of f, add 1 to each x-coordinate, then multiplyeach y-coordinate by 2, and finally add 3 to eachy-coordinate.(-1, 1) → (0, 1) → (0, 2) → (0, 5)(0, 0) → (1, 0) → (1, 0) → (1, 3)(1, 1) → (2, 1) → (2, 2) → (2, 5)(0, 5) (2, 5)t(1, 3)+g(x) = 2(x – 1)² + 388Copyright © 2018 Pearson Education Inc.

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Answered: Pencil Problem #74 7. Use the graph of…

Math

Calculus

Pencil Problem #74 7. Use the graph of ƒ(x)=x' to graph h(x)=(x- 3y° - 2.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter5: Solving Systems Of Linear Equations

Section: Chapter Questions

Problem 5CA

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