Let f₁(x) = x³ (a) draw the graph of f₁(x) (b) If we shift the graph of ƒ₁ rightwards for 3 unit, what is the formula ƒ2 for the new graph? (c) Then, if we compress the graph of ƒ2 in x direction by 2, what is the formula f3 for the new graph will be?

Q: Use the given graph of y = f(x) to evaluate the following.

A: given graph of f(x)

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A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

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A:

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A: Given : f(a) = b

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A: Given ,  We have to use the given graph of y = f(x) to evaluate

Q: Sketch the graph of f (x) = 1/6x3 - 3/2x2 + 5x + 1.

A: To Sketch the graph of function f(x)=16x3-32x2+5x+1

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A: fx=12x2-4x+7

Q: Figure 24(A) is the graph of f(x) = x 2 , and Figure 24(B) is a horizontaland vertical shift of (A).…

A: The graph A of f(x)=x2 is

Q: Suppose the graph of y = f(x) is translated left 9 units, and up 8 units, then stretched…

A: Given Data: Function: y =f(x)   Translations: Left: 9 units Up: 8 units Stretched Horizontally by…

Q: graph f(x) =7/2x

A: To sketch the graph of the given equation.

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A: Given: R(x)= (-2)/(2x-3)^3. Here, the parent function is 1/x^3. Now, doing the given transformation,…

Q: How to graph f(x)=|x+1|

A: To draw the graph of the following function.

Q: f(x) = 4 %3D f(-1) =

A: We have f(x) = 4. So,           And f(-1) = 4.

Q: Find the inverse of ƒ(x) = x + b (b constant). How is the graph of ƒ -1 related to the graph of ƒ?

A: To find the inverse we plug f(x)=y Then switch x and y and solve for y

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A:

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A: We need to show equation of function after transformation.

Q: Where is the graph of R(x) = x3 - 8/x2 - 25above the x-axis?

A: The graph of the equation x3-8x2-25

Q: How would the graph of f(x) = ✔x be affected if it were changed to g(x) = -2✔x?

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Q: What is the effect on the graph of f(x)= x when g(x)= + 4?

A: when you add +4 in function  e.g f(x)=x g(x)=f(x+4)=x+4