Find a function f whose graph is a parabola with the given vertex and that passes through the given point. vertex (−1, 8);  point (−2, −3)   f(x)= ?

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

A: To find the parabola equation in terms of x.

Q: The graph of a function g is given. y 3 X -3 3 -3 -

A: The given graph of the function is :

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A: Graph y=ax2+bx+c Putting given points in the equation    -1, -4a-12-b+c=-4a-b+c=-4…

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Q: Determine whether the given quadratic function has a minimum value or maximum value. Then find the…

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

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Q: Which graphs shows the function f (1): %3D 243z+2 17

A: Given

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A: The graph of quadratic equation fx=ax-h2+k is given as ,

Q: Which is the graph of f (x) 2x + 8x ? = -x Which is the graph of h (x) = 2(x + 1)(x´ - 9) - 2(+ +…

A: Given, fx = -x4 -2x3 +8x2  hx = 2x+1x2 -9  we have to choose the graph of fx  and  hx

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: , Consider the function f(x) whose graph is a parabola with a hole in it. Give the equation of this…

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Q: Find the maximum or minimum value of the function.

A: Given :           The function h(x) = 12x2 + 2x - 6.   To find the maximum and minimum value of…

Q: Find the maximum or minimum value of the function. g(x) = 100x2 - 1500x

A: Given function is  g(x) = 100x2 - 1500x

Q: Find the point on the graph of the function that is closest to the given point. Function Point (16,…

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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…

A:

Q: Select the root(s) of the quadratic function f (x) = x2 + x - 6 -3 -2 -6 6 The y intercept point of…

A: We have to check

Q: Identify and sketch the graph of the given equation in R3 z = 1- ex

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x-axis,  y-axis,…

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

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: . The x-coordinate of the vertex of f(x) = ax2 + bx + c,a ≠ 0, is_________

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

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

A: given vertex (4,-5) ≡(h,k)and passses through the point (5,-3)equation of parabola isy-k=a(x-h)2

Q: please answer the question in the attachment

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Q: If f(x) = kx' + x² – kx + 2, find a number k such that the graph of f contains the point (2, 12).…

A: We have the given condition as   f(x)=kx3+x2-kx+2   We have to find the value of k  such that  f…

Q: given the function h(x) = - x/2 + 1 calaculate the values of h(-2) and h(3)  and draw a graph.

A: We have to evaluate the value of the function hx=-x2+1 at the points x=-2 and x=3. First we have to…

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

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Q: y 10 6. 4 2 14-12-10 -8 -6 -4 -2 -2 4 6 -4 10 -12,

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Q: Fine the vertex, axis, x-intercepts, and y-intercepts of the given function, and graph the parabola…

A: The given function,

Q: How do I solve this?

A: Consider the given parabola

Q: The graph of y = x^3 is translated to create a cubic function f(x) with x-intercepts at (-4,0),…

A: Given   x-intercepts are (-4,0), (-1,0) and (4,0).   Therefore factors are (x+4) , (x+1) and (x-4)…

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: The answer is given below

Q: The x-coordinate of the vertex of f(x) = ax2 + bx + c, a ≠ 0, is ________.

A: For the standard form of a parabola:  fx=ax2+bx+c If a>0, the parabola opens up and the vertex…

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: Use the graph of the quadratic function f(x) = a(x- h)< +k to find the vertex, axis of symmetry, and…

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Q: Please answer the quesions in the attachment

A: Consider the given equation

Q: Which quadratic function opens down and is NARROWER than the graph of y=x ? (A) y =-x - 3x+2 (B) y…

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Q: Graph on a Cartesian plane the function h(x)= X-2

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Q: Find the vertex of the graph. f(x) = −x2 + 6x + 1

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Q: Find the maximum or minimum value of the function. f(x) = 5 – 6x – x? Is this a maximum or minimum…

A: To find The maximum and minimum value of f(x) f(x)=5-6x-x^2

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

A:

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

A:

Q: Find the vertical asymptote (if any) of the graph of the function 2р + 3 (a) h(p) = р? — 49 7x (b)…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: Find the quadratic function y = a x 2 + b x + cwhose graph passes through the following three…

A: Consider the given function y=ax2+bx+c

Q: The graph of quadratic function f is shown on the grid. (-6, 4)- 1 -1 -2 (-2, -4) -5 (-3, -5) What…

A: The intercept of any graph are points at which the graph crosses the axes , X and Y.