For this item, select the answers from the drop-down menus. Consider the functions f (x) and g (x). f (x) = (x – 5)² – 10 g(x) = (x + 10)² To map the function f (x) to the function g(x), the graph moves down 10 units and left 15 units.

Q: Diego wrote f(x) = +2) (x-4) as an example of a function whose graph has x-intercepts at x =-4, 2.…

A: for finding x intercept set f(x)=0

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: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

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

A:

Q: Which one is the graph of ​f(x)=x2​? What is its​ domain?

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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: Given the graphs of f(x) and g(x) below, find f(g(2))

A: from the graph g(2)=5

Q: Determine where the graph of the function f(x) = 2x3 - 6x is concave up and where it is concave down

A: Known fact: The graph of the function fx is concave up on I if f''x>0 for all x in I. The graph…

Q: Starting with the graph of f(x) = 4ª, write the equation of the graph that results from a. shifting…

A:

Q: D) The x-intercept of the graph of f is -4.

A: Given that: The two points ( - 4, 0 ) and ( 2, - 8 ).

Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: For f(x) = x^3 + 5, write the rule for g(x) = f(x - 1) – 2 and sketch its graph

A: The function is given by f(x) = x3+5 To evaluate : The rule for g(x) = fx-1-2 and sketch it.

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: Which of the following represents the graph of f(x) = 2 ^ (x + 3)

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: The parent function (x) 13 is transformed to 9(x) = (1 – 1)" + 4. Which graph represents function g?

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

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the following:  Find first and second derivative:…

Q: For Exercise, graph the function. (- 2x for x <0 Vĩ h(x) for x 2 0

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Q: Find the range for the function x²+y²=4

A:

Q: For Exercise, use the graph of y = f(x) to graph the given function. -y = f(x)- y = 2f(x – 3) +1

A: y=2f(x-3)+1 means f(x) moved 3 units to the right, 1 unit up and stretched by 2 vertically.  We will…

Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x&gt;2

Q: How is the graph of f (a)= (x - 4)° transformed from its parent function?

A:

Q: Compare the graphs of the two functions f(x) = 2* and g(x)/ Determine the equation of (x). 15. g(x)…

A: Given,           The graph of fx and gx are shown below :            fx=2x

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: For Exercise, graph the function. -3 for x 0 h(x) =

A: We make a table for x&lt;-2 Then we make a table for -2&lt;= x&lt;0 And make a table for x&gt;=0…

Q: Starting with the graph of f(x) = 4", write the formula for the function that results from

A: Given data:     The given function is: f(x)=4x.     (a) To shift the curve three units upward, add 3…

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: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: Q3, sketch the graph of Hhe function y= x-4x +3

A:

Q: Given the Graph of the Function: f (x), explain how to obtain the graph of g (a) = -f (x+ 5) +1

A: Given that: Graph of f(x).

Q: For Exercise, graph the function. –4x – 3 for x < 0 f(x) = for x 2 0

A:

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: For Exercise, graph the function. x + 2 for x<-1 (-x + 2 for x2 -1 g(x) :

A:

Q: For Exercise, use the graph of y = f(x) to graph the given function. -3--y = f(x)- -5-4-32-1 y = f(x…

A: means the graph f(x) moved 2 units to the left, 3 units down and shrank by 1/2 vertically. So the…

Q: For Exercise, use the graph of y = f(x) to graph the given function. -y = f(x)- -5-4-3 y = f(x + 2)…

A: means y=f(x) moved 2 units to left, 3 units down and shrank by 1/2 vertically.  So the new x will be…

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

A: The given functions are f(x)=-(2x+3)+4 and the base function f(x)=2x The x intercept of the function…

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: Not sure how to do this.

A: From the given graph, it is observed that graph takes value 4 as the value of x takes 3.

Q: 11) Find the point of inflection of the graph of the function. f (x) = xVx + 27

A:

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: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

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: The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been stretched somewhat…

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Q: Q3, sketch the graph of th function y= x-4x +3

A: Given y=x2-4x+3y=x2-4x+4-1y+1=x2-4x+4y+1=(x-2)2   Hence it is an upward facing parabola with vertex…

Q: The graph of f(x)=x^2 rises or falls to the left? And does it rise or fall to the right?

A:

Q: How do you graph the function  f(x)= - (x+3)2 +1 Only by vertex?

A: Given information