The parent function of an absolute value equation is transformed as described. Write the new equation in vertex form and identify the vertex.   Reflected about the x-axis, then shifted five units left.

Q: Use the graph of f(x) = |x| to write an equation for the function represented by each graph. %3D (a)…

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Q: If the point P is on the graph of a function y=f(x), find the corresponding point on the graphs of…

A: #1)  For y=13f12x-9,12x=-3x=-6To find the y value we plug f12x=9y=13(9)-9y=3-9y=-6So the ordered…

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Q: Given, f(x) = √x + 1 Find an equation for f -1(x). Then graph f and f -1 in the same rectangular…

A: We first write f(x)=y, then we switch x and y. Then we solve for y.

Q: Use the graph of f(x) = x to vwrite an equation for the function represented by each graph. (a) 4 -3…

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Q: Graph the given functions, f(x) = -2x, g(x) = -2x + 3, in the same rectangular coordinate system.…

A: We draw a table with different x values to get the coordinates of points. x f(x) x g(x) -2 4 -2…

Q: Complete an equation for the function graphed above y =

A: The Given Graph is:

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: Concept - f(x) is shifted 7 upward so that is g(x)

Q: Which graph has the following characteristics? three real zeros • as x -o, f(x)→-0 • as x o, f(x)→∞

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Q: The graph of y = f(x) is given. Match each equation with its graph. f -3 -3 (a) y = f(x - 4) O 1 O 2…

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Q: The shape of f(x) = x3, but shifted six units to the left, six units down, and then reflected in the…

A: Start with the function f(x)=x3 Then   1. Shift 6 units to the left (replace x by x+6): f(x)=(x+6)3…

Q: For Exercise, graph the equations and functions. f(x) = + 2

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Q: Give a formula for a function y = ƒ(x) and shows the graphs of ƒ and ƒ -1. Find a formula for ƒ -1…

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Q: Graph the equation shown below by transforming the given graph of the pa function. y = 2° + 1 Start…

A: The graph of f(x)+k is the translation of the graph of f(x) vertically upwards by k-units.

Q: Graph this function: y +3= x - 2) Click to select points on the graph. 2 -2 10 el 00

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Q: Graph the function y = − x 2 − 1.  State its domain and range in interval notation.

A: Given y=-x2-1

Q: Given the absolute value function y = a|x-h| +k If a > 0, does the graph open up or down? If a < 0,…

A: y = a|x-h| + k a is the controlling factor for the direction of face of the graph

Q: Match each graph with an interval where the function is constant A) -1 < x < 2 B) 1 < x < 4 C) 0 < x…

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Q: The graphs of two functions, f (x) and g(x), intersect Selected values of the functions at shown in…

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Q: Graph f(x) = |x – 4|. State the domain and range. %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: tell in what direction and by what factor the graphs ofthe given functions are to be stretched or…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Using only this information, sketch the graph. f (x) = - 1/9x3 + x2 + 9x

A: Here given function  fx=-19x3+x2+9x When x=0, f(x)=0.

Q: Sketch the graph. Which of the following is the graph of f(x)= 3x +6x - 5? %3D O A. OB.

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Q: Use translations to graph the given function. 9) a(x) = /x - 2 - 1

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Q: Find the natural domain and graph the functions for the following: 1) y = Va? – 36 2) y = -t2

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Q: f(x)= fB, if x0 give their domain, range, x-intercept, y-intercapt, and graph. 2 X2 2.x +1

A: Note :- The domain of a function f(x) is the set of all values for which the function is defined,…

Q: Given the function Y= X^2 graph it by origin, draw the graphics of g = X^2 + 4 and the of h= X^2 - 2

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Q: The graph of f(æ) : is shown in black. Match each equation with a graph above. 1 + 3 a. orange b.…

A: (1)y=1/x +3      (b) blue f(x) is translated up by 3 unit (2)y=-1/x          (c) green f(x) is…

Q: please answer the question in the attachment

A: Given:

Q: Given, f(x) = 1 - x2, x ≥ 0 Find an equation for f -1(x). Then graph f and f -1 in the same…

A: the given function is: f(x)=1-x2, x≥0 we have to find an equation for f-1x. then we have to graph…

Q: Write an equation for the function whose graph is described. g(x) = the shape of f(x) = x3, but…

A: Given: The function is fx=x3 I) shifted 7 units to the left II) shifted 8 units down III) Reflected…

Q: Write an equation for the function whose graph is described. The shape of f(x) = vx, but shifted…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: These values can be find out from the given graph

Q: Write the equation of the final graph obtained by applying the lollowingtransfortmations to the…

A: To write equation of the final graph obtained by applying the following transformations to the graph…

Q: Graph the following equations and explain why they are not graphs of functions of x.a. 0 y 0 = x b.…

A: (a) To graph: The equation y=x and explain the reason that y=x is not graphs of functions of x.…

Q: Determine whether the graphs of the following equations and functions shown are symmetric about the…

A: fx=2x Now replace x by -x, we get f-x=2-x=2x=fx Therefore the graph is symmetric about y-axis.

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

A: From the graph of the given function f, note that open circle at some point indicate f is not…

Q: If the value of b is 3 and the values of x are -4, -2, 0 ,2 and 4, graph the function f(x) = b* In…

A: Given that, the value of b=3 and the value of x are -4,-2,0,2, and 4. Find the ordered pairs for the…

Q: Consider the function f(x) = 3(1.5)* %3D а. Fill in the table b. Graph the coordinates

A: a)  x f(x) -2 4/3=1.333 -1 2 0 3 1 4.5 2 6.75

Q: Given the graph of the function. If (X) = 2, what is x? Blank 1

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Q: Identify the domain and then graph the function. f(x) = square root of x - 2

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Q: 4 4 2. 2.

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Q: Please answer the quesions in the attachment

A: Consider the given equation

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for…

A: we have to graph the given function f and g in the same rectangular coordinate system. we have to…

Q: Graph the given functions,f(x) = -2x, g(x) = -2x - 1, in the same rectangular coordinate system.…

A: Given: The functions are, To find the points, substitute the values from -2 to 2 for x in f(x) =…

Q: Complete an equation for the function graphed above

A: We know that the graph ofy = |x|

Q: Determine x- and y-intercepts if exist.  Graph f(x) = 5x3 +17x2 – 14x – 8  please show the answer…

A: The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate…