How does the graph of g(x) = (x – 1)3 + 5 compare to the parent function f(x) = x3? O g(x) is shifted 1 unit to the right and 5 units up. O g(x) is shifted 5 units to the right and 1 unit up. O g(x) is shifted 1 unit to the left and 5 units up. O g(x) is shifted 5 units to the right and 1 unit down.

Q: How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)…

A: We have to identify how much units we will shift the graph of fx=3x-2 from the graph of fx=3x.…

Q: Use the graph of f(x) = x2 to obtain the graph of h(x) = (x + 1)2 - 3.

A: To use the graph of f(x) to obtain the graph of h(x).

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

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: What is the horizontal asymptote of the function f (x) = e+2 - 3

A:

Q: Use the graph of f(x) = x3 to obtain the graph of h(x) = (1/2)x3.

A:

Q: (4) Draw the graph of the function f(x) = 2¹. (5) Draw the graph of the function f(x) = 3.

A: Consider the functions 4)     f(x)=2x5)     f(x)=3x

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

A: Given, a function f(x) and g(x)=-x+1.

Q: the red graph of f (x)=x^2 to the blue dotted line graph of g(x)=-2x^2+6 select all that apply for…

A:

Q: Given a function and g(x) - 3(x- 1). how would the graph of. y-Ax) compare to the graph of y-Ag(x))?…

A: y=f(x)= 3x-3 is a straight line and graph is

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

A:

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: How does the graph of f(x) 22 compare to the graph of g(x)= 2"+27 whereas the graph The graph of…

A:

Q: Sketch the graph of the function f(x) = 3x + 4, its inverse, and the line of symmetry. All three…

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Q: How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?

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Q: 2. Graph the function: f(x) = - er-1 +2 x y xy

A:

Q: How is the graph of g(x)=f(kx) related to the graph of f when k = 5?

A:

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: -6x - 18 if x -3 fy the general shape and direction of the graph of this function on the interval…

A: We are asked to identify the general shape

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

A:

Q: 2. f(x) = 3[ x]

A:

Q: The graph of f) = x' is transformed to create the graph of g(x) = f(x) – 3 . Which graph best…

A: given function

Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: Compare the properties of the graph of f(x)=-(2x+3)+4 to the base function f(x)=2x. 3.) Is there a…

A: Given the graphs and properties of the functions,  f(x) = 2x f(x) = -(2x + 3) + 4 To find the…

Q: 4) Graph the function f(x) = x² and g(x) x² + 7

A: Graph.

Q: How can the graph of f(x) = 1 + 15 be obtained from the graph of y =,? x-5 X- 5 O A. By making a…

A: Solve the following

Q: 7. Graph the piecewise function for for -4<x <-3 - 3 < x <0 T<-4 -4x 13 f(x) = %3D x2-6x 7 for for 0…

A:

Q: 5. Compared to the graph of the base function f(x) = x² , the graph of the function g(x) = (x + 2)²…

A:

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: Consider the graph of f(x)= 2x. How do the graphs of 5f(x) and f(x)+5 compare to the graph of f(x)?…

A: 1) The parameter  a  can multiply the output  y  after rule  f  is applied: y = f(x)  becomes  y =…

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: 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: How does the graph of g(x) = (x + 2)³ – 7 compare to the parent function of f(x) = x3? g(x) is…

A:

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: Graph the function f(x) 3° and g(x)-3-x on the same set of axes. How does the graph of g(x) compare…

A: To draw the graph of the function f(x) = 3x, find the value of the function at different points to…

Q: Sketch a graph of f. Ay 20 f(x) = 2x 16- Use the graphing tool to graph the function. 12- Click to…

A:

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: Find the point on the graph of the function f (x) = ( x– 7 )4/2 that is closest to the point ( 16, 0…

A:

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: x +2 ()** Draw the graph of f(x) |10 구 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 -2 -4 -5

A:

Q: Find the x- and y-intercepts of the graph of the function f(x)=−2|x+5|+2. Enter your answers as…

A:

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: Given a function Ax) and g(x) --x+1. how would the graph of y-fx) compare to the graph of y- fz(x))?…

A:

Q: what are the steps to graphing  f(x)=e^(-x/2)

A: Steps to graphing an exponential function: 1. Draw the graph of the general exponential function. 2.…

Q: 4. How are graphs of the functions obtained from the graph of ? (a) y=-f(x)          (b) y =2f(x)-1…

A:

Q: Sketch the graph of f.

A: Given that

Q: What is the value of h(3)? The piecewise function h(x) is shown on the graph. O-2 O-1 0 1 4 O 2 2

A: Given the graph of a piecewise function

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…