Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in the form f(x) = a(x - h)2 +k. ..... f(x) =

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 equation of a parabola that has a vertex of (-5, -3) and contains the point (-4, -5).…

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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: (x)

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Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

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: Sketch the parabola f (x) = 2x2 - 4x.

A: Given: f(x) = 2x2-4x To sketch: The given parabola.

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

A: We have to find vertex

Q: 5. Write the equation of a parabola that takes a maximum value of 4 at r = -2.

A: We need to find equation of parabola.

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

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

A: Draw the parabola y=7-x^2.

Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

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Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  vertex: (7, -4)…

A: Explained below

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: Given query is to find the equation of the parabola whose roots are x=9 and x=-4. Parabola passes…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

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Q: Give 3 points that lie on the parabola y=x^2-5x-2

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Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of 231, which…

A: Given   Vertex of a parabola (x,y)=(-5,6)           Y- intercept c=231

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: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

Q: Find a formula for the quadratic function whose graph has its vertex at (−3,2) and its y-intercept…

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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: Determine the standard equation of parabola X²-6x+5y=-34

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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:

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

A:

Q: Find the point(s) of intersection of the parabola with equation y = x2 - 5x + 4 and the line with…

A: Given equations are,

Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

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: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

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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: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: Find the points of intersection of the parabola with equation 2x + y² + 4y – 2 = 0 and the line…

A: Here we find the intersecting point of parabola and the line.

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 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: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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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: What is the equation of the standard parabola with its vertex at the origin that opens downward?

A: we have to find the equation of the standard parabola with its vertex at the origin that opens…

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 an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: Express the equation of the parabola below in standard form. x2+6x−2y+1=0

A: Recall: Equation of parabola:         y-k2=4ax-h where (h,k) is the vertex and parabola is open in…

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: Write an equation of the parabola in intercept form. 14. x-intercepts of 3 and -4; passes through…

A: equation of the parabola in intercept form is given below- y=a*(x-p)*(x-q) where p,q are intercepted…