Suppose that G(x) = F(x-4). Which statement best compares the graph of G(x) with the graph of F(x)? %3D

Q: Explain how the graph of g is obtained from the graph of f. x-5 %D

A:

Q: Use the graph of f(x) = 3√ x to obtain the graph of g(x) = -3√x.

A:

Q: Use the graph of f(x) = √x to obtain the graph of g(x) = √(x - 4)

A: We first graph the parent function  f(x) = √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.…

Q: Sketch the graph of the function

A:

Q: Q3/ Sketch the graph of f(x) = x+1

A:

Q: Draw the graph of f(x) = – (x – 2)² + 3 below.

A:

Q: How is the graph of g(x)=(x-3) related to the graph of f(x) = x?

A:

Q: Find an equation for the graph sketched below -5 4 -3 f(x) =

A:

Q: s the graph of /(x), which function g(x)-4(x-C)+D hn as its graph?

A: Given query is to find graph of g(x) from f(x).

Q: Use a graphing utility to graph x² - 5x + 6 x - 2 x? - 4x + 3 (x) = and g(x) x - 2 What differences…

A: Solution: Consider the given functions are; f(x) = x2-4x+3x-2 f(x) = x2-3x-x+3x-2 f(x) = x-3x-1x-2…

Q: Which of the following represents the graph of f(x) = 2(x − 3)?

A:

Q: -3x – 5 is obtained from the graph of f (x) = |x| + 1.b) Describe how the graph of g (x) = -|x| Зх +…

A:

Q: The graph of g(x) = ax2 opens downward and is narrower than the graph of f(x) = x2  what is value a?

A:

Q: Sketch the graph of f.

A: fx=3x-4 Since denominator is zero at x=4, therefore vertical asymptote is x=4. Since the degree of…

Q: What graph models the function f(x) = 4(2)x?   just show what the graph would look like.

A: We have to draw the graph models the function f(x) = 4(2)x  And graph is looks like a curve which is…

Q: 2. Given the graph of y = f(x), sketch the graph of y =-f(x+1).

A:

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) = 6**4

A: It is given that                        F(x)=6x+4 Now we want to draw the graph of F(x) So we will…

Q: Part A Which is the graph of f(x) = 2X. %3D

A:

Q: Given the graphs below, what is the possible value of g ( x) in terms of f(x)? 8(x) f(x)

A:

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

Q: How does the graph of g(x) = 4x + 5

A:

Q: The graph of f'(x) is shown. Which graph would best represent the graph of f(x) ?

A:

Q: Sketch the graph of f (x) = 3 x +1

A: The given function is,

Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

Q: Sketch the graph of f(x) = (x + 1)^3(x−1)^2

A: To sketch the graph of the given function.

Q: Sketch the graph of f(x) = 1/(x2+1)

A: The graph of f(x) = 1/(x2+1)

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Explain how the graph of f(x) = mx + b can be used to solve mx + b > 0.

A: f(x)=mx+ b

Q: 2 Graph the function g (x) =x+1 ?

A:

Q: Given the graphs below, what is the possible value of g(x) in terms of f ( x )? f(x) 8(x)

A:

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

A: Because the 2 was multiplied with f(x), so f(x) will stretch vertically by a factor of 2.  Because…

Q: 3. 1. f(x)= X-4

A:

Q: Sketch the graph of f(x)= square root(-1-x) by hand, without calculator

A: Choose some value of x and find the corresponding values of f(x) as shown below table.

Q: How does the value of a affect the graph of y = ax? Discuss the case for a 1 and for 0 s a s 1.

A: When a >=1  Graph will shrink towards y axis that is value of y increases more rapidly When 0…

Q: Use the guidelines of the section to make a complete graph of ƒ.

A: The given function is f(x) = 1e-x-1

Q: Use the graph of f(x) = 5. to sketch the graph of g. %3D g(x) = %3D x - 8

A: Now, the center of g(x) shifted to 8x -axis. The graph of g(x) , curve will be drawn between the…

Q: Fill in each blank so that the resulting statement is true.

A: Compared with the graph of fx=1x, the graph of gx=1x+2-1 is shifted 2 units ______ and 1 unit _____.

Q: If g(x) = x2 – 4, where does the graph of the g(x) cross the x-axis? Make a sketch of the graph.

A: Given g(x)=x2-4We know that x2 graph is a prabola

Q: Sketch the graph of ƒ(x) = e2/x.

A: The given function is fx=e2x. Sketch the graph of fx=e2x as shown below.

Q: how is the graph of g(x)=x³+2 related to the graph of f(x)=x^3

A: The graph of  x3 and x3+2 are related to each other.  Both the graphs work in same sense but graph…

Q: Draw the graph of g(x) = f(x + 2) below. After finishing the graph, click outside the grid to stop…

A: Known fact: The graph of y=fx+a, a>0 can be obtained by shifting the graph y=fx, a units left…

Q: The graphs of f (x) = 2" and g(x) = 3"- are shown. %3D

A: According to logarithm formula .

Q: the graph of f(x)=x^2 is transformed to create the graph of g(x)=f(x)-9

A: Use downward shift of graph

Q: Sketch the graph of f.

A: Given that

Q: Sketch the graph of the function. y = e−x2

A: we have to sketch the graph of y=e-x2

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.