Find a function f whose graph is a parabola with the given vertex and that passes through the given point. vertex (3, –3); point (4, 1)

Q: The graph of the function g(x) contains the point (6,15). What point must be on the graph of…

A: The exercise is concerned with modifying the given function and substitutions

Q: Determine the x coordinate of the graph h(x) = x^3-3x^2+9x+8

A: we have to find the x-coordinate of the given function h(x)=x3-3x2+9x+8

Q: What happened to the graph? f(x) = -Ix| Flx) f(x)

A: Given problem:- Graph the function f(x)=-|x|

Q: The figure below shows a graph of the function of f((1)) in the coordinate plane. Vertex: Axis of…

A: For a parabola that opens down, the vertex is located at the maximum point. Axis of symmetry is the…

Q: The graph of the square root function whose equation is: g(x) = Vx - 3 +5 %3D is moved two units to…

A: To find: The new equation if graph of gx=x-3+5 is moved 2 units right and 3 units down. Concept…

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: [-10,10,1] by [-1,8,1]

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Q: If the point P is on the graph of a function f,find the corresponding point on the graph of the…

A: The point on the graph of f is P3, -2. The function is y=2fx-4+1.

Q: Ketch a graph of f(x) = 3 2 x + 2

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Q: Find a function f whoes graph is a parabola with the given vertex and that passes through the given…

A: the vertex of the parabola is (2,-3) and the parabola is passing through the point (3, 1)

Q: P2- Graph the fellowing functions. 4ー× xS f cx) 2 2 a- X + 2X メ>! Xく。 gcx) = b-

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Q: The graph of the function g(x) contains the point (9,13). What point must be on the graph of…

A: Given information:

Q: Let f(x) = -0.4x² + 7x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Given function is, f(x)=6x4+16x3=2x3(3x+8) Now differentiating f(x) twice with respect to x we get,…

Q: Graph the function

A: The graph of the function f(x)=1-x is shown on the board:Some of the point aref(x)=1-xyx=-3,…

Q: te an equation for a graph obtained by vertically stretching the graph of y=x² _by a factor ollowed…

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Q: The graph of the function f(x) = ax2 + bx + c has vertex at11, 42 and passes through the point 1 -…

A: Given the graph of the function f(x) = ax2 + bx + c has vertex at(1, 4) and passes through the point…

Q: Determine whether the given points are on the graph of f(x) = 2x + 3 Select all points that lie on…

A: Given: y=f(x)= 2x+3y= 2x+3at (0, -2) ⇒ x=0      y= -2    at x=0    y=f(x)= 2(0)+3=3  (0,-2) not on…

Q: If the point P is on the graph of a function f,find the corresponding point on the graph of the…

A: A function is a relationship between the variables. The input variable is the independent variable…

Q: Find an equation for the graph sketched below: 구 3- -5 -4 -3 -2 23 4 5 -4 -5 -6 -7 f(x) = %3D…

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Q: 39-40. Sketch the graph of the function y = x3 - 6x² + 12.

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Q: 8. Complete the square to place the following function in vertex form. y = -x2 - 6x - 6 9. Give the…

A: given y=-x^2-6x-6   Vertex form= A(x-B)^2+C

Q: . Graph the function f (x) = 2x3 - 3x2 - 6x on thewindows given in parts (a) and (b). Which…

A: Given function f(x)=2x3-3x2-6x (a)[-5,5] by [-5,5]

Q: The graph of y = f(1) is shown. Sketch the graph of y =f(x)- %3D 6+ -6 5 43/2 1 2 3 4 5 6 -2 -3+ -4-

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Q: Graph the function ƒ(x) = 1/x. What symmetry does the graph have?

A: Given, fx=1x

Q: Consider the given function, g(x) = 2x²–4x+2. (a) State whether the graph of the parabola opens…

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: If a point A(-2, 8) is on the graph of a function f, find the corresponding given point of the…

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Q: Use the graphs of ƒ and g to sketch the graph of y = ƒ(g(x)).

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Q: Let f(x) = -0.4x² + 12x -12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Put the function y = -3(x – 3)² + 1l in vertex form f (x) = a(x – h)² + k and state the values of a,…

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

A: Given information: y=x5-x3-2 When one shape is moved, rotated, or flipped, it becomes identical to…

Q: Use the graph to state the absolute and local maximum and minimum values of the function. (Assume…

A: a) Absolute Maximum value = 5 b) Absolute minimum value = Does not exist because it is hollow…

Q: Use the graph of f to sketch the graph of f1. y 10 5 X -10 -5 10 5 10 Graph f-1 using closed…

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Q: 3. Graph the function. S(x) = 2\=

A: We use the graphical analysis in order to solve the given problem.

Q: please answer the question in the attachment

A: Given:

Q: The graph of y =f(x) is given. Graph the function y =-f(x-2) +2.

A: We have been given the graph of the function y = f(x) and we have to draw the graph of the function…

Q: Draw a rough sketch of the graph f(x)=ax²+bx+c if:a0

A: Explanation of the solution is given below..

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

A: Given: fx=x4+5x2-12 for finding symmetry of given function, we draw graph of given function as below

Q: Determine whether the graph of the following equation and/or function has symmetry about the x-axis,…

A: To check whether the graph is symmetric about x-axis,   A graph is symmetric about x-axis if every…

Q: Write a cubic function whose graph is shown. AY A (-2, 4) 4 (2,0) -4 -2 4 x (-3,0) (-1, 0) -8 f(x) =…

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Q: 8-35. Consider the following types of graphs. Which graphs are polynomial functions? a. parabolas b.…

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Q: 3- (2. -6 -5 -4 -3 -2 2. -2 -5 -7 -8- Write an equation for the graph above. f(z) = 4.

A: Graph of the trigonometric function

Q: Find a function whose graph is is the given curve the top half of the circle x² + y² = 81

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Q: If a function is defined as f(x)=Ax2+Bx+Cf(x)=Ax2+Bx+C, then the graph of the function is a parabola…

A: Given function is f(x)=Ax2+Bx+C          (1) Since f(x) is equation of parabola. We can write (1) as…

Q: The graph of the function g(x) contains the point (8,12). What point must be on the graph of…

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

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Q: Use the graph to state the absolute and local maximum and minimum values of the function. (Assume…

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