Explain why g(x) = across the y-axis, or by shifting the graph of f one unit to the right and reflecting across the x-axis. can be graphed by shifting the graph of f(x) = - one unit to the left and reflecting -x + 1

Q: Sketch the graph of the function y = 3−∣x∣

A: We make a table for the given function

Q: Which transformation from the graph of a function f(x) describes the graph of t)?

A:

Q: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

Q: Explain why the graph of a nonzero function is never symmetric with respect to the x-axis.

A: To be symmetric about the x-axis. We must have points of the form (x,-y) when (x,y) is on the…

Q: Draw the graph of f(x) – (x + 3)?

A:

Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.

A: To sketch the graph

Q: Use point plotting to graph f (x) = x + 2 if x ≤ 1.

A: The given function is

Q: True or False The graph of a function y = f1x2 alwayscrosses the y-axis.

A: Given : Statement : The graph of a function y=f(x) always crosses the y-axis. Determine the given…

Q: What is the slope of the graph of f (x) when x = 1?

A: Given: Function f(x).

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: I dont understand how to graph x / abosolute value of x?   How do I approach this?

A: Solved below

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

A:

Q: Sketch the graph of the function y = 2x

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Find the points of inflection and discuss the concavity of the graph of the function. g(x) = x√(x +…

A:

Q: Use the graph of f'(x) to identify the graph off (x). 6

A: Given graph f'(x) The graph is of the function is of the form  f'(x)=4x+122-2.5 To find f(x)

Q: The graph of f(x)=3x is reflected about the y-axis and stretched vertically by a factor of 4 . What…

A: Given,         The graph of f(x)=3x is reflected about the y-axis and stretched vertically by a…

Q: What must be done to a function’s equation so that its graphis reflected about the y-axis? Explain.

A:

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

A:

Q: Your friend claims that the graph of f (x) = (2x + 1)/x is the graph of f (x) = 1/x shifted 2 units…

A: Verify that the graph of  f1x=2x+1x is 2 units upward of the graph of  f2x=1x.  Simplify f1x=2x+1x.…

Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: hw does the graph shift from f(x)=2x to f(x)=2x+4

A: we have to determine how does the graph shift from f(x)=2x to f(x)=2x+4.   as we know that if we…

Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: y=-12f(x)

Q: I need to graph the function f(x+1) given the graph of f(x)=x^2

A: As we replace 'x' with 'x+1' in f(x). The given graph of f(x) will shift towards left i.e towards…

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: Find the x- and y-intercepts of f and sketch the graph. Approximation of graph will suffice. 1) f(x)…

A: For x-intercept : put y = 0 and For y-intercept : put x= 0

Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

Q: Sketch the graph of f(x) = (x + 1)^3(x−1)^2

A: To sketch the graph of the given function.

Q: The graph of f(x)=3xf(x)=3x  is reflected about the yy-axis and stretched vertically by a factor of…

A: Given,         The graph of f(x)=3x  is reflected about the y-axis and stretched vertically by a…

Q: A function has a y-intercept of 2 and is increasing for values of the domain greater than 4. Which…

A:

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

A:

Q: Explain how the graph of f(x) = mx + b can be used to solve mx + b > 0.

A: f(x)=mx+ b

Q: Explain how you test if the graph of y = f () is ncreasing or decreasing.

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: Use the graph of y = f(x) to sketch the graph of f'(x). 10+

A: The given graph is:

Q: How can I tell if a graph is the function of x?

A: HOW TO: GIVEN A GRAPH, USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION OF…

Q: What is the effect on the graph of f(x)= x when g(x)= + 4?

A: when you add +4 in function  e.g f(x)=x g(x)=f(x+4)=x+4

Q: Sketch the graph of the function. y = (1/3)ex

A: GIven:y=13ex To draw its graph.

Q: What is the y-intercept and asymptote of the function?

A:

Q: 2 / Sketch the graph of function y = + 3x

A: We have to sketch the graph of the given function   The given function is   y=2x+3x

Q: how can you use a graph to dertermine that a relationship is not a function?]

A: Given that the graph to determine that the relationship is not function.

Q: What is the graph of the function f(x) = 2x - 1?

A: Given f(x) = 2x - 1

Q: Sketch the graph of the function. y = csc x/2

A: We have to graph of y=csc x2 First, we will make a table of cosec x2

Q: Sketch the graph of the function: f(x,y)=10-4x-5y

A: Given:

Q: Sketch the graph of f(x)=(x+2)³/²+1 stretch vertically by factor of 3.

A: Given: The function is, fx=x+23/2+1

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: What are the horizontal asymptote and y-intercept for the graph of this function f(x)=2-x+7 ?

A: Given function

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

A: Given information