f(x)= x2+4 for xeR g(x)= 3x-1 for xeR h(x)= 4-In(x+2) Sketch the graph of h(x). Apply appropriate transformation method to draw the graph. Show all the functions on one graph, plot at least one point for each function, and label the functions with its equation

Q: Use the transformations on the function f(x) = Ixl to select the correct graph of f(x) = 31x - 11.

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Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: Sketch the graph of f (x) = (x - 2)4 - 1.

A: Given equation: fx=x-24-1

Q: Find the slope of the graph of the function at the given point.

A: Given function is  To find the slope of the above function at (1,4)

Q: Consider the function h (x) = 2x^2 – 8x – 10. Find its vertex

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Q: Consider the function y=f(x). Describe the graph of each transformed function: a) y=-f(x-2)-1 b)…

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Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3…

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

Q: Sketch the graph of f (x) = 1/2x2 - 4x + 7.

A: fx=12x2-4x+7

Q: Starting with the graph of f(x) = 2, write the equation of the graph that results from (a) shifting…

A: Given graph equation , f(x)=2x (a) shifting f(x) 1 units upward, y= f(x)+1 =2x+1. (b) shifting f(x)…

Q: if f(x)= x2-3x-2 which graph could represent f(x)?

A: The given function is fx=x2-3x-2. Draw the graph of the given function. Here we use quadratic…

Q: If f(x) = 2x² – 3x + 1, use transformations to graph y = -f(x) and y = f(-x).

A: Given, f(x)=2x2-3x+1 To graph: y=-f(x)  =-2x2-3x+1  =-2x2+3x-1y=f-x  =2-x2-3-x+1  =2x2+3x+1 So,…

Q: Explain how to find f (a) geometrically from the graph of y = f (x).

A: Explain how to find f (a) geometrically from the graph of y = f (x).

Q: State the domain and range of the transformed function f(x)=610g10 -2(x-5).

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Q: Sketch the graph of:

A: Given: fx=-x2-6,x≤-4x+5,x>-4 For drawing graph of given function, we will use graphing calculator

Q: Predict how the graph of each equation will appear compared to the graph of f(x) = x². (a) y = (x +…

A: Given f(x)=x2 To predict how the graph of the following equations will appear comparing to the graph…

Q: Graph: f(x) = 3x

A: Concept;   The calculus helps in understanding the changes between values that are related by a…

Q: Describe the changes in the graph for the following equations from their respective parent function.…

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