from the graph of y = f(x) by shifting  (left, right, up, or down ?)     7 units. (b) The graph of y = f(x + 7) is obtained from the graph of y = f(x) by shifting (left, right, up or down ?)      7 units.

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: How is the graph of g(x) = (x - 8) 2 + 7 transformed from the graph of f(x)=x2?

A: g(x) = (x - 8)2 + 7 f(x) = x2 is the parent function. The function g(x) can be obtained by applying…

Q: How Is the graph of g (x)=x2+14 related to the graph of f(x)=x2? The graph of g (x)=x²+14Is the…

A:

Q: he graph of y=x^2 is expanded vertically by a factor of 2, translated 5 units to the left, and…

A: Given function y=f(x)=x2

Q: The graph of y= f (-x)-2 is the graph of y= f(x) 1. A. reflected over the x-axis and shifted down 2…

A: Explained below

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: 1. Find all values of x where a) f(x) = 0, b) f(x) > 0, and c) f(x) 0 when c)f (x) <0 when

A:

Q: (ii) (a) Draw the graph of x>0 f(x) = } 0 x = 0 -1 x<0

A: Function  f(x)=x|x|, where || represents the modulus function. If x&gt;0 |x|=x f(x)=xxf(x)=1. If…

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

A:

Q: 3 Graph the equation f(x) = - I + 4. 4 4 2- -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 3.

A: This question is about graphing the line

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

A:

Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

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

A:

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: (a) Graph f (x) =x+2 for x 0. x+2 for x 0

A: 1.  Graph fx = x+2, for x≤0

Q: Find an equation for the graph sketched belo 구 -5 4 -3 -2 -1 3 4 -2 -3 -4 -6 -7- -8+ f(x) =| 3. 2.

A: The solution is given below:

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: How does the graph of f(x)=(x-9)'-3 Compare to the parent function gx) = x". |

A: Given, f(x)=(x-9)4-3 g(x)=x4

Q: True or false: The graph of g(x) = Vx + 4 is the graph of f(x) = Vĩ shifted horizontally to the…

A: Given,     The graph of g(X)=x+4  is the graph of f(x)=x  shifted horizontally to the right by 4…

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

A:

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: 7. ( ) Find the x-values for the inflection points on the graph of ƒ (x)=x² .2*. %3D

A: Given function :

Q: In sketching the graph of y=f(x) = – 3cos +)+4, we translate the graph of y = - 3cos s 5 by 4 units…

A: Transformation of graph

Q: If f(x) = ax4 + bx3 + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

A:

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: The graph of 5% = where x > 0, lies entirely to the right of the y-axis O below the x-axis above the…

A: Given: Graph of the above is,

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

A: Given: y=f(x)=x3-9 To determine: Equation of new function when the graph is horizontally stretched…

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

A: Here, the objective is to describe how the signs of h and k affect the graph of function y=f(x-h)+k.…

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: How is the graph of y = f(x+2) – 1 obtained from the graph of y = f(x)? %3D

A:

Q: -7 -6 -4 -3 -2 -4 -5 -6 -7 -- Given the graph of y = f(x) (drawn in blue) and y = g(x) (drawn in…

A: If the graph of f(x) lies above the x-axis for the values of a&lt;x&lt;b, then, f(x)&gt;0 for…

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: How does the graph of f () = a²compare to the graph of g (2) = (x + 2)² – 7? The graph of 9 (æ) is…

A: Shifting of graph

Q: the graph of y=f(x) has been transformed to the graph of y=g(x) as shown in the picture. no…

A: Vertex of g(x) is (1,-1)  (h,k) = (1,-1)   Equation of parabola when symmetric about Y-axis is given…

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 &gt;=1  Graph will shrink towards y axis that is value of y increases more rapidly When 0…

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: What is the end behavior of the graph of f(x) = – 0.5x2 – 3x – 4? A.as x increases, f(x) increases;…

A: The given function is

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) 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: A reflection in the x-axis of the graph of y = f(x) is represented by h(x) = ________, while a…

A: Since, we know that the reflection of point (a,b) in x-axis is (a,-b)and the reflection of point…

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: (a) Graph f (x) = -2 x for x 0. -2 x for x <0 (c) Graph r (x) = 2x for x20

A: To Determine: graph  a) fx=-2x  for x&lt;0 b) gx=2x  for x≥0 c) rx=-2x  for x&lt;02x for x≥0…

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: Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are…

A:

Q: Describe the translation needed to obtain the graph of g(x) = 8*** from the graph of f(x) = 8*. ....…

A:

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

A:

Q: Suppose (1, 3) is a point on the graph of y = f(x).• What point is on the graph of y = f(x + 3) −…

A: y = f(x + 3) − 5 means y=f(x) moved 3 units left and 5 units down. (x,y) -&gt; (x-3 , y-5). So,…

Q: 1. The graph of y= f(x+2)-3is the graph of y= f(x) А. shifted left 2 units and down 3 units В.…

A: We have to find

Q: x² + 1, x 2

A: First we shall plot fx=x2+1 Considering x≤-1 Points shall be: x -1 0 y -2 5 Graph is: