Write an equation of a parabola that has a vertex (3, 8), opens downward congruent in shape to the graph of y = 5x².

Q: The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of…

A: Solve

Q: Which point on the graph of the parabola y= 4x2 has the minimum distance between the graph and the…

A: To solve this question find a function in 'x' using the distance formula equate the derivative of…

Q: A parabola has vertex (2,4.8) and one x-intercept is (3,0). The other x-intercept is (?,0)

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Q: If the line X equals three is the axis of symmetry of a para bola , Which coordinates below could be…

A: The axis of symmetry is a line, that divides the parabola into 2 equal halves. For the parabolas of…

Q: Which point on the graph of the parabola y = 5x² has the minimum distance between the graph and the…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7−x2.…

A: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7−x2.…

Q: Write an equation for the parabola graphed below. 7- -8 -7 -6 -5 -4 -3 -Þ -1 1 2 3 4 5 6 7 8 -3 -4…

A:

Q: Describe how to find a parabola’s vertex if its equation is expressed in standard form. Give an…

A: The standard form of a parabola is y = ax2 + bx + c. To find the x coordinate of the vertex, use the…

Q: Find the equation of the parabola in standard form vertex at the origin passing through the point…

A:

Q: Write a quadratic equation for the parabola that passes through the point (-2, 12) with roots (-5,…

A: Solution is given below:

Q: Write an equation for the parabola whose vertex is at (3, 6 ) and which passes through point (4, 4…

A: Given Data: The vertex of the parabola is: (h, k)=(3, 6) The coordinate of a point on the parabola…

Q: How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis;…

A: We have to write the equation of parabola with vertex (0,0) and a point in the parabola that is…

Q: A point moves on the parabola y2 = 8 in such a way that the rate of change of the ordinate is always…

A: The given parabolic curve is, y2 = 8x    ...(1)   It is given that the rate of change of ordinate is…

Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

A:

Q: A parabola has a vertex at (4,-11) and runs through the point (8,-123). Determine the equation for…

A:

Q: Write the standard form of the equation of a parabola with directrix of x = -10 and vertex at (-6,…

A:

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the equation of a parabola that has a vertex of (-5, 8) and contains the point (-3, 12).

A: The equation of the parabola y=a(x-h)2+kwhere (h.k) is vertex .

Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: how do you graph a parabola

A:

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

A:

Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

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Q: A parabola is shown below. Its vertex and another point on the parabola are label- Write an equation…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 5x into two…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Draw the parabolic path of the bird based on the given data. Black Bird • Vertex: (14,25) • Maximum…

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Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

A:

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: Write the equation of the parabola in vertex form. vertex (2,1), point (1, -3) f(x) =|

A:

Q: Write an equation of the parabola in vertex form that passes through -3,7 n -5,4

A: To find an equation of the parabola in vertex form that passes through -3,7 and -5,4

Q: 7. Write the equation of the parabola in vertex or intercept form. ya(2) -1, 0) (2, 0) (0, -4)

A: Here we have to find equation of given parabola.

Q: Find the equation of a parabola that lies through (3,3), (-4,3), (1,7)

A: To Determine: Find the equation of a parabola that lies through (3,3), (-4,3), (1,7) Given: we have…

Q: A parabola has a vertex located at (7, 8) and passes through (4, -10). Write the equation that…

A: Given : A parabola has a vertex located at (7, 8) and passes through the point (4, -10).

Q: Find an equation of the parabola that has the indicated vertex and whose graph passes through the…

A: Given that: Vertex: (-2, -6); Point: (-1,0). To find: We have to find an equation of the parabola…

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A: Given Parabola,

Q: What is the equation of the quadratic function whose graph is a parabola which opens to the left,…

A: Consider the given: Vertex = 0,0Focus = −2,0End-points of the latus rectum = −2,4 and…

Q: Write the equation of the parabola that has "a" value 4 and vertex (3, 5).

A:

Q: The graph of a parabola is a straight line. How do i Explain and correct the error?

A: The equation of a parabola is quadratic i.e. of degree two.

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: write an equation of the parabola in vertex form.  passes through (13,8) and has vertex (3,2)

A:

Q: What is the standard equation of the parabola whose vertex is at (5, -2), has a horizontal axis of…

A:

Q: Determine the equation of the parabola with vertex (–8, 10) and that passes through (2, 18). Explain…

A:

Q: A parabola has a vertex of (-3, 7) and also goes through the point (-6, -11). State the equation in…

A:

Q: Find the standard form of the equation of the parabola with vertex (3, −4) andfocus (6, −4).

A: Given that, the vertex of a parabola is (3, −4), and its focus is (6, −4). Since the focus (3, −4)…

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

A: The rectangle has its base on the x-axis and its other two vertices above the x-axis and lying on…

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

A:

Q: Write the equation of two different parabolas that have a vertex of (3,-1), and that pass through…

A: Vertex is ( 3 , -1 )  and point (0, 2 ) So Now equation of parabola is given by    y = a ( x - h )2…

Q: What is the equation, in vertex form, of a parabola with vertex (3,1) and goes through point (0,10)

A: The given data is: The vertex of parabola is 3,1 The parabola passes through the point 0,10 To write…

Q: Determine an equation of the parabola with the vertex at (-2, 5) and passes through the point (-3,…

A:

Q: Determine the equation of a parabola

A: Substituting the point origin, in standard equation we get value of directrix. Then we can find…

Q: Find the equation , in standard form, of the parabola with the specified features.   1. vertex…

A: Solve for 1

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.