What transformations change the graph of f(x) to the graph of g(x)? 5. Ax) = x²; g(x) = (x+5)? -9 left s onits down q. Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)? 6. Let g(x) be the reflection of (x) =x² +3 in the x-axis. What is a function rule for g(x)?

Q: 8. The graph of y = f(- x) is a reflection of the graph of y = f(x) in the x-axis.

A: Authoring guidelines:…

Q: What happens to the function f(x) = (x – 1)² +1 when it becomes f'(x) = ((x- 1)² + 1)? O It is…

A: topic - transformation

Q: 1. Let X be the graph of f(x) = x2/3 given below

A: Sol

Q: Describe the translation needed to obtain the graph of g(x) = 2X-4 from the graph of f(x) = 2*.…

A: Describe the translation needed to obtain the graph of g(x)=2x-4 from the graph of f(x) = 2x

Q: 4. Use transformations of y= x* or y=x to graph cach function. (a) S(x)=(x+3)' (b) f (x) = (x-1)* -…

A: a)y=x5Horizontal shift by 3 units towards leftf(x)=(x+3)5 The graph is shown below:

Q: Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form:…

A: The algebraic representation of the linear function is fx=mx+b

Q: 1 Given f(x) = |x| & g (x) = 5f (æ) 2 Describe the transformation from f(x) to g(x)

A: Please go through the attached solution.Thankyou . Best regards.

Q: How is the graph of the parent function, f(x) = = Vx transformed to form the function below? %3D y =…

A: Given : The parent function f(x) = x

Q: 2. Refer to the function p(x) = x². (a) Suppose r(x) = p(x+3) – 2. Describe how p(x) is transformed…

A: As per our company guidelines, we can solve first question for you. If you want other questions to…

Q: For all values of x for which the function is differentiable if H(x) is defined as: H(x) =…

A: Solution is given below:

Q: How does the graph of f(x) = 2*+2 compare to the graph of g(x) = 2* + 2? The graph of f(x) is a…

A: The graph f(x) is a translation of the parent function h(x) =2x 2 units to the left Given functions…

Q: For all values of x for which the function is differentiable if H(x) is defined as: H(x) =…

A: Given that for all values of x for which the function is differentiable and if H(x) is defined as:…

Q: Consider the following. Rx) = 15 - 2x - (a) Find f'(x). f'(x) = (b) Graph both f(x) and f'(x) with a…

A: I have solution for part (a) and (b) given equation is  f(x)=15-2x-x2since coefficieny of x2 is…

Q: 8. Given (x) - x', sketch the graphs from y = f(x) to 1 1 (x + 6) 2 (x - 5 = -

A:

Q: 7) For the function: f(x)= In(x+2)+4. Round to hundredths if needed. A) Identify all transformations…

A: Given that: f(x)=ln(x+2)+4       NOTE: As per our answering guidelines, we can only answer 1…

Q: {2*+1 if x<0 etch the graph of f(x)=X+3 EO

A: We will graph the problem.

Q: 1 then shifted to the left 3 units and down 2 units. 2 b. The graph of f(x) Vr is horizontally…

A:

Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

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

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: Suppose that the differentiable function y = g(x) has an inverse and that the graph of g passes…

A: Given,

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: d) Now, recall our class discussions relative to transformations of graphs and explain what is the…

A: We have to check

Q: The graph of f (x) = x² was transformed to create the graph of g(x) = – (6x)² . Which of these…

A: f(x) = x2g(x) = -(6x)2

Q: 3. Explain the transformations of g(x) = 3(x + 5)² + 10 that are needed from the graph of f(x) = x?

A: Given: the function gx=3x+52+10 and fx=x2, To find: The transformations of gx that are needed from…

Q: The graph of f (r) -x² was transformed to create g (x) = from the graph of f to the graph of g -(x +…

A: Here f(x) = - x2  And g(x) = - ( x + 3 )2

Q: 2. When compared to f(x) = 3*, how does the graph of f (x) = -3x-5+ 1 differ? %3D A Shifted left 5…

A: Given functions are; fx=3x fx=-3x-5+1

Q: Explain how the graph of g is obtained from the graph of f. (a) f(x) = x, g(x) = (x - 5)3 O shift…

A:

Q: Q1.Given: x2 - 4 when x 3 1.Find what values of ( a) and (b) that will make the function continuous…

A:

Q: y 57 4+ 3- Graph of f(x) to -5 -4 3 2 1. 3 4 5 2. 2.

A: Given graph is a parabola:

Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x &amp; Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Compare the function rule f (x) = 3x + 2 and the graph of g (x). 10 -10 10 Which statements are…

A: First let's draw graph of f(x) on same axis and then compare it with g(x) graph.

Q: The graph y = f(x) is transformed to y = -f(x + 3) - 2. Which describes the effect of the…

A: Transformation of graph is very significant in studying the analytical nature of a function. The…

Q: 1. How does the value of h affect the graph of f(x) = (x – h) + k?

A:

Q: 9. Graph the piecewise function: 2 xS-1 h(x) = { x' -1<x< /2 %3D 43

A: We have to graph the function.

Q: (a) To obtain the graph of g(x) = 2* – 1, we start with the graph of f(x) = 2* and shift it %3D…

A: The graphs of y = 2^x - 1 and y = 2^x are given as follows: The red colored graph represents the…

Q: .. The graphs above are approximate graphs of f and f' for f(x) = a²(x – 15). So f is decreasing…

A:

Q: a) What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4) ?b)…

A: What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4)?

Q: Previous Sketch a graph of f(x) - (r + 1)* + 2 5- 4 3 2 -6 -5-4 -3 -2 -1 -1 | 2 3 4 5 -2 -3 -4 Clear…

A:

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -…

A:

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? %3D (b) How is the graph of y…

A: Shifting or change in the graph of the function f(x) is done by adding, subtracting, multiplying,…

Q: 10. Given a function f(x) and g(x)%3= = -x+ 1, how would the graph of y =, (x) compare to the graph…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Describe the translation needed to obtain the graph of g(x) = 5× – 4 from the graph of f(x) = 5%.…

A: 4) Describe the translation needed to obtain the graph of gx=5x-4 from the graph of fx=5x.

Q: What is the new equation for the pictured graph after transformations from the parent function…

A:

Q: 10. Use the function f(x) = (-2)e +1 to state the transformations and then graph: a= h= k= y

A: In the question we have to find values of a , h , k and graph the given function.

Q: у 1 0 1 T 1 X

A:

Q: 2. Below is a graph of f(x) = |x|. Sketch g(x) = |x| + 4 and h(x) = |x|– 3 on the same axes. How are…

A: f(x)=|x| , g(x)=|x| +4 ,h(x)= |x|-3…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.