Find the vertex of the parabola which is the graph of  f(x) =3x2+5x-2 without a calculator.

Q: Find the equation of the quadratic function whosegraph is a parabola containing the points (-2,…

A: The quadratic function passes through the points -2, -4,  3, 1  &  2, 4. Let the quadratic…

Q: Find the vertex for the parabola y = -4x2 + 20x + 160. Then determine a reasonable viewing rectangle…

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Q: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: We compare  f(x) = 3x2 - 12x + 1 with  f(x) = ax2 +bx + c  So, a=3, b=-12, c=1

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 vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x)= 4x²…

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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: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

Q: ,2 The vertex of the parabola of f(x)=x²+x is

A: Equation of the parabola :y=a(x-h)2+kwhere (h,k) = vertex of the parabola

Q: Without graphing, locate the vertex and axis of symmetry of the parabola defined by f(x)=-3x2+6x+1…

A: Given- fx=-3x2+6x+1 To locate- locate the vertex and axis of symmetry of the parabola defined by the…

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Given

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: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: When the graph of a quadratic function opens downward, its leading coefficient is ________ and the…

A: To find: When the graph of a quadratic function opens downward, its leading coefficient is ________…

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: What are the coordinates of the vertex of the parabola given the function f(x)=x^2+8x-3

A: f(x) = x² + 8x - 3 Let, y = f(x)  So, y = x² + 8x - 3   Next, we will complete the square on the…

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) = -2x2 +…

A: The given quadratic function f(x) = -2x2 + 8x - 1   Known fact: The standard form of the quadratic…

Q: State the circumstances that cause the graph of a quadraticfunction f(x) = ax2 + bx + c to have no…

A: The intercepts of a function are points where the graph of the function crosses the axes. The…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Equation of parabola: f(x)=a(x-h)2+k Where (h, k) is the vertex of parabola.

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A: f(x)=-10x2The new parabola has vertex (5,7)

Q: h f(x) = 6x² or g(x) = -6x²,

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Q: Determine the vertex for the following parabola. f (x) = 7x2 + 3x – 4 -

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Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

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Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

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Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

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Q: Identify the vertex of the parabola F(x) = (x - 9)2 - 7

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Q: Find the axis of symmetry of the parabola defined by the given quadratic function. f(x)=6x2-12x+1

A: Find the axis of symmetry of the parabola defined by the given quadratic function.f(x)=6x2-12x+1

Q: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given: f(x)=-2x+12+5

Q: Find the equation of the quadratic function whosegraph is a parabola containing the points (-1,…

A: Find the equation of the quadratic function whose graph is a parabola containing the points, Given:…

Q: The vertex of the parabola of f(x)= x²+8x is

A:

Q: Find an equation for the parabola shown in the figure.

A: Given: The focus F-2,1 and directrix x=3 of the parabola, To find: The equation of the parabola.

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Given: f(x) = -2x2 + 8x - 1

Q: Consider the parabola given by the equation: f(x) = - 4x – 12x - 7 |

A: Given: fx=-4x2-12x-7

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: 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: What is the correct quadratic function for this parabola?

A: Note: General equation of parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2  Vertex for both the form…

Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: We have to find coordinates of the vertex for the parabola defined by quadratic function:…

Q: Write the equation in the standard form of the parabola that has the same shape as the graph of…

A: Write the standard form of parabola and maximise at x=3.

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: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: Find the vertex for the parabola y = 0.01x2 + 0.6x + 100. Then determine a reasonable viewing…

A: Given: y=0.01x2+0.6x+100  To determine: The vertex for the given parabola & graph of the given…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.