Let f(x) = 2°, g(x) = 2ª – 3, and h(x) = 2" +2. What is the relationship between he graph of f(x) and the graphs of h(x) and g(x)? - For each part below, fill in the first blank with a positive number that indicates how units the graph is shifted, then select the correct direction of the shift from the pulldown menu. help (numbers) many (a) For all a, the graph of g(a) is units ? the graph of f(z). units ? (b) For all æ, the graph of h(x) is the graph of f(x).

Q: Sketch the graph of f.

A: fx=-4x-22 Since the denominator is zero at x=2, therefore it has the vertical asymptote at x=2.…

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Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: Sketch the graph of: (5.1) у- cot ( 2x - (5.2) у %3D 3 seес ( х + 6.

A: Topic-curve of function

Q: Explain the two transformations that occur to the graph of y = Vx to produce the graph of y =-Vx +2.

A: Given:            y=x  to   y=−x+2.

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A: Given: Cx+Ay=B

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A: According to the problem, we have

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Q: The graph of f(x) = -4(0.45) is given below (click on graph to enlarge): Let g(x) be the reflection…

A: Given the graph of fx = -40.45x is

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A:

Q: grapn correct equation using the following: y = 2(x+4) - 4 y = 2(x + 2) identity equation y = x and…

A: An equation y = x is given in which some transformations are applied. The below table represents the…

Q: B- Find the Domain, Range and Sketch the graph of the function y = 2cos(x-

A: Given y=2cosx-π3

Q: For the function p graphed in the accompanying figure, find lim p(x). y = 6(x) 4

A: As x tend to minus infinity, y approach to zero.

Q: 12. Select the correct Trig. functions tepresenting the given graph. Hint: 2pi = 6.28 * 3 2 4 5 6.…

A:

Q: Consider the function Y = (X*Z)0.5. At what point is the intersection of the line Z = - 1.4X + 30…

A: The graph of the function Y = (X*Z)0.5, the line Z = - 1.4X + 30 and contour line (in fact it is the…

Q: 4. Describe how the signs of h and k affect how to obtain the graph of y = f(x – h) +k from the…

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Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of 3 dimensional equation. Multi-variable calculus.

Q: Consider the graph of the function f(x) = x3. What would the graph look like if it was shifted down…

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Q: 11 2. y=8x"- 2x° +3x +4

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Q: Order the following points according to their decreasing distances to the point (1,-2) (-3,-2)…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.