State the parent function of g (x), and describe how the graph of g (x) is related to to its parent function. g (x) = 2x³ – 5 Part A State the parent function of g (x). Enter the correct expression in the box. Hint Consider the transformed function of the form g (x) = a(G (x – h))" + k of the parent function f (x) = x". f (x) =

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

A:

Q: find The domain of tHhe function fCメ=-

A: This is a function with a square root, so we will be using the concept of square root function for…

Q: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

A: Given f(x) = x3  is the parent function.   h(x) =- x3 = -f(x) This means f(x) reflected over the…

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) gx) = 5…

A: We need to plot the graph of the given function.    gx=x   ,    x∈[0,5)

Q: Describe how 1 g(x) = = -f(x) f(x) transforms the graph of the parent function f(x).

A: Given :   Therefore g(x) is reflected.

Q: Which of the following matches the graph of f(x) = 2(x − 1)(x + + 1)²(x + 2)?

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the power of the…

Q: Graph f(x) = ln x and g(x) = ln(x + 3) in the same viewing rectangle. Then describe the relationship…

A:

Q: Sketch a graph of the function f(x) = 5 − 3x and determine whether it is even,odd, or neither.…

A: Given:      f(x)=5−3x

Q: (3x + 1 if x< 1 if x21 Sketch the graph of f(x) = 3

A:

Q: Sketch the graph of the function and state its domain.

A: Given a function f(x)=ln 2x To find the domain : The domain is given by all the values of x where…

Q: (-x² – 2x+3 if x1 a. Sketch the graph of f(x)

A:

Q: 3 -x'+8 As x→-0, f(x) → ), and as x→0, f(x) → |

A:

Q: 4 -4 Correctly identify the end behavior of the graph of f(x). -2

A: From the graph it is easily seen that the function is continuous everywhere on R.

Q: Sketch a graph of the function by first making a table of values. g(x) = x2 + 2x + 1

A: gx=x2+2x+1⇒gx=x+12 When x=-2, g-2=-2+12=1 When x=-1, g-1=-1+12=0 When x=0, g0=0+12=1 When x=1,…

Q: 6. Use the graph of f(x) - to write an equation for the function whose graph is shown.

A: Given data: The given graph of the polynomial. The first point on the graph is (-2,0). The second…

Q: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

A: Beginning by the graph of fx=x3 we have to use the transformation of this graph to graph the…

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: To graph the function fx=x+22-2 using transformation by graphing the function y=x2. Solution: Graph…

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Given: f(x)=-x2-2x To Graph: the function f by starting with the graph of y=x2 and using…

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: To graph the function fx=x-32-10 using transformation of the graph of the function y=x2. Solution:…

Q: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

A: The transformation of function is to be found. First consider graph of ,fx=x3

Q: The graph of the function (x) = x2 is shown below.

A: The graph of y=x2 is given The graph of y=-x2 will be the downward direction(-ve y-axis) The graph…

Q: 6) Sketch the graph of f(x) = 2¬² +1

A: To sketch the graph

Q: (1+ 3x X 1

A:

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: f(x)=x2 is the parent funciton  Make a table for the parent function  x                   f(x) -2…

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: Graph of f(x) = LxJ

A:

Q: The graph y=f(x) is graphed below. What is the end behavior of f(x)?

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Q: x2-5x-14 5. Graph function of f (x) = X-4

A:

Q: Use transformations of f(x) = to graph x2 1 g(x) = (x-2)2 1.

A: Here we find the correct garph for function g(x)

Q: The quadratic function which describes the given graph is f(x)= (Type an expression.)

A:

Q: The quadratic function which describes the given graph is f(x) (Type an expression.)

A: Here we have to find the equation of the quadratic function.

Q: The graph of y ={(x) = V- 9 is horizontally stretched away from the y-axis by a factor of3 to…

A: fx=x-9

Q: What transformations 4) f(x) = (x + 2)² + 7 happen to the graph from its parent function?

A: We have to find solutions As per guidelines we have to solve one question

Q: Use transformations of the graph of f(x) = x to determine the graph of the given function. h(x) = -…

A:

Q: 5. The graph of f(x) = x² is given below. Graph -(x).

A: Given graph of function  , f(x)=x2, and we have to draw a graph of -f(x), For graph look at step 2

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Given function, fx=3x2+6x

Q: Use transformations of the graph of f(x) = x to determine the graph of the given function. Ay h(x) =…

A: Question is solved.

Q: Graph the standard cubic function, f(x) = x3. Then use transformations of this graph to graph the…

A: The given cubic function is; y=f(x)=x3

Q: x < 0 6. Sketch the graph of f(x) = x2, x 20

A: Solution: The objective is to graph the given function

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

A:

Q: Which statement below describes the relationship between the graphs of f(x)= Inx + 2 and g(x) =…

A: Given,      f(x)= ln(x)+2      and     g(x) = 2ln(x)

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A:

Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

A:

Q: Find f -1(x) . (b) Sketch the graphs of f and f-1 on the same coordinate plane.

A: Given- fx=10-15x To Find- The inverse function f-1x and sketch the graph of fx and f-1x.

Q: Of (x-2)-3 Use the following graph of f(x) to sketch the requested graphs in parts a and b. B)f(-x)

A:

Q: Graphs of f(x) = x 9 - 20x + l.

A:

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.