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Q: Graph the quadratic function. First find your minimum or maximum value, and then create a chart to…
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Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.
A: To complete the square and find the maximum values of the given function.
Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.
A: Consider the function: fx=-x2+4x+1 Complete the square. Take a common in ax2+bx+c to reduce into the…
Q: Determine the vertex of the parabola. f(x)=x2-20x+106
A: Consider the given equation.
Q: Find the vertex of the graph of the quadratic function and determine whether it's an absolute…
A: Given y=x2+18x+83 Find Vertex of the graph and determine whether it's an absolute maximum or…
Q: Consider the quadratic function a maximum or a minimum valuE f(x) = x - 16x + 60
A: Given
Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Specify domain and…
A: Given: The function fx=x-12-2 To sketch: The graph of given quadratic function. To find: Domain and…
Q: Find the maximum or minimum value of the function. y = x2 − 6x + 11
A: Find the maximum or minimum value of the function. y = x2 − 6x + 11
Q: Find the maximum or minimum value of the function. y = x2 − 6x + 11
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Q: Identify the vertex of the parabola F(x) = (x - 9)2 - 7
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Q: graph the function f(x)=-3x^2+3x-2 using properties of parabola
A: Given, The function f(x)=-3x2+3x-2
Q: Let f(x)=2(x-2)(x+4). What are the coordinates of the vertex?
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Q: Find the maximum or minimum value of the function. y = x2 − 8x + 19
A: To find the maximum or minimum value of the function. y = x2 − 8x + 19.
Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.
A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…
Q: find the coordinates of the vertex for the parabola defined by the given quadratic function f(x)=…
A: At the vertex x= -b/(2a) We compare f(x)= -x^2-4x+10 with f(x)= ax^2+bx+c a=-1 , b=-4 and c=10
Q: Rewrite the quadratic function in vertex form and give the vertex f(x)=2x^2-10x f(x)= vertex:
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Q: Write f(x) = x² + 4x – 3 as f(x) = a(x – h)² + k. What are the coordinates of the vertex? What is…
A: Given, f(x)=x2+4x-3 On simplifying further we get:…
Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?
A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).
Q: The vertex of the parabola f(x) = x² + 14x + 4 is о (-7, -41) о (-21, —45) о (-14, -45) о (-7, -45)…
A: As we know that the vertex of a parabola f(x)=ax2+bx+c is : Vertex=-b2a,f-b2a
Q: Graph the function f(x) = −3x2 + 3x − 2 using properties of parabola.
A: Given: fx=-3x2+3x-2
Q: Write the quadratic function in the form f (x)= a (x– h)²+ k. Then, give the vertex of its graph.…
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Q: If the zeros of the function f(x) = x² + 16x + 60 are x = -6 and x = -10, wl are the coordinates of…
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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…
A: Minimum value is 0 at x=11. Since we need minimum value, therefore the parabola must be an upward…
Q: Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.
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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…
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Q: Complete the square and find the maximum value of f (x) = −x2 + 4x + 1.
A: To find: The maximum value of fx=-x2+4x+1. Given: The function is fx=-x2+4x+1. Calculation: The…
Q: Let f(x)=(x-2)(+6). What are the coordinates of the vertex?
A: As we know general form of a quadratic equation is given by ax^2 +bx+c.
Q: the daily profit in dollars of a specialty cake shop is descrived by the function P(x)= -5x^2 + 230x…
A: The function P(x)=-5x2+230x-2,040 describes the the daily profit in dollars of a specialty cake…
Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…
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Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…
A: Given quadratic function f(x) = -2(x + 4)2 - 8 ...(1)
Q: Find the maximum value of the quadratic function. f(x)= - 3x2 + x - 7
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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…
A: We have, fx=3x2 The above equation represents the upward parabola with vertex 0,0, Therefore minimum…
Q: The path of a diver is modeled byf(x) = (−4/9)x2 + (24/9) x + 12where f(x) is the height (in feet)…
A: Givenf(x) = -49x2+249x+12here, a = -49 , b = 249this is downward opening parabola.
Q: Write the quadratic function in the form f (x) = a (x-h)´+k. Then, give the vertex of its graph.…
A: The given quadratic equation is Convert the given equation in the form of
Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2x2 +…
A: The given quadratic function f(x) = -2x2 + 8x - 1 Known fact: The standard form of the quadratic…
Q: Rewrite this quadratic function in vertex form, and give the vertex as well. F(x) = 5x^2 - 15x…
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Q: Sketch the graph of each quadratic function and compare it with the graph of y = x2. (a) f(x)…
A: topic - translation of a function
Q: Sketch the graph of the quadratic function f(x)=4x2+16x. The graph should contain the vertex, the y…
A: Given quadratic function is: f(x) = 4x2 + 16x The corresponding graph is:
Q: Discuss the maximum and minimum of x?+y+6x+12.
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Q: Discuss the maximum and minimum of x?+y'+6x+12.
A: Given: x2+y2+6x+12
Q: Discuss the maximum and minimum of x?+y'+6x+12.
A: Given:- f(x, y) =x2+y2+6x+12 To find:- Local maximum and minimum of given function
Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…
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Q: Select the graph of the quadratic function beow. Glve the minimum or maximum value and the axis of…
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Q: Consider the following quadratic function f(x) -7x2 + 12x - 11 Find the vertex - | (x, y) Determine…
A: To locate the vertex and decide whether it corresponds to a maximum or minimum
Q: Find the minimum or maximum value of the quadratic function. f(x) = x2 − 4x + 3
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Q: Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in…
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Q: The vertex of the quadratic function f(x) = 2(x – 1)2 + 6 is
A: We compare the equation with the vertex equation y=a(x-h)2+k Comparing we get: h=1 and k=6
Q: Rewrite the quadratic function in standard form. f(x) = x2 − 16x + 70 f(x) = Give the…
A: First we write this into standard form then calculate the vertex.
Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (-5,3) in…
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Q: Determine, without graphing, whether the quadratic function f(x) = -2r? + 12x – 16 has a minimum…
A: Given: The quadratic function f(x) = -2x2+12x-16. To find: a. The Maximum or minimum value and where…