# NameGroup #Math 115 Fall 2019Problem 4-Practice with Transformationsa. The graph of h(x) is a transformation of the graph of f(x) given below. Leth(x) 2f(-x)-1.Describe the three transformations (in order) thatwere applied to f(x) to obtain h(x)..6f(x)21 23 4 5 6 7-8 -7 64 4.Sketch the graph of h(x)on the same grid.46-7-8b. Consider the function g(x) = -Ix + 31 + 2. Sketch the graph of the function and find thefollowing information.YDescribe the three transformations8(in order) that were applied tof(x) lx to ob tain g(x).764542101 2 3 4 5-8 -7 -6 -5-4 -3 -26 7 8Domain:-234Range:O-57Decreasing on:.-8Increasing on:Op. 19O

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Step 1

(a)

consider the function which is to be obtained that is:

h(x)=2f(-x)-1

Step 2

Now, first apply the transformation f(x)→ f(-x), then the graph of f(x) will be reflect over the y-axis.

Now, apply the transformation f(-x)→ 2f(-x), then the graph obtained from first transformation will be vertically stretched by multiplying each y-coordinate by 2.

Further, apply the transformation 2 f(-x)→ 2f(-x)-1, then the graph obtained from second transformation will be shifted downwards by 1 unit.

Step 3

Now, graph the function h(x) by applying all the three transforma...

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