Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -x2 - 2x + 8

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

A: Here given an equation of the parabola

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

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

A:

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

A:

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 quadratic function y = ax2 + bx + c whose graph passes through the given points (-1, -4),…

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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 coordinates of the vertex for the parabola defined by the given quadratic function.…

A: Rewrite the given equation as follows.

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

A: We have to find vertex

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: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 3x2 -…

A: Vertex form of parabola equationis given byy=ax-h2+kwhere h,k is vertex

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: To find the standard form of the quadratic function whose graph is a parabola with the given vertex…

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

A: Let the quadratic equation be y=ax2+bx+c

Q: 2. Rewrite the quadratic function y= x²+5x-4 in vertex form.

A:

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…

A:

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2x2 -…

A: Given quadratic function, fx=2x2-8x+3 let y=2x2-8x+3 We know that for any parabola in the form…

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: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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

A:

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: Find the maximum value of the quadratic function f(x)= – x² +2x+7.

A: for maximum value of f(x) put f'(x)=0.

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

A:

Q: Find the vertex of the quadratic function f(x) = 3x2 − 36x + 107.

A: Consider the given function f(x) and compare it with general equation for parabola to find the…

Q: Find the general equation of a quadratic function whose graph passes through the origin and has a…

A:

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

A:

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

A:

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: 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: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

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: Find the coordinates of the vertex for the parabola defined by the given quadratic function…

A: Consider the given equation of the parabola.

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

A:

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: Find the coordinates of the vertex for the parabola defined by the quadratic function f (x) = 3(x…

A: Given function is  fx=3x+52−4

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 coordinates of the vertex of the quadratic functions beneath:   y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

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

A: For y=a(x-h)2+k vertex (h,k)

Q: Find the quadratic function for which: Contains the points (0, 5), (1, 2), and (3, 2)

A: The given points are,  (0, 5), (1, 2), and (3, 2). The quadratic equation is of the form y=ax2+bx+c.…

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.