Describe how the parabolas y = x2 + bx change as b changes from -oo to oo.

Q: What is the turning point of the parabola whose equation is y = 2x2 + 4x- 3? А (1,3) С 2, 13) 8…

A: The turning point is the vertex.  The formula is   -b2a given equation y=2x2+4x-3compare the…

Q: Find the equation of the parabola in general form with vertex (-1,2) and focus (-1,–2).

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Q: determine the equation of this parabola

A: The general form of the parabola is y=ax-h2+k where h,k is the vertex of the parabola.

Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

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Q: How can we find the slope of the parabola y?

A: You can’t find the slope of the parabola y , because a parabola is not a line. You can find the…

Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: y=x2- 3x-8

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Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: Write the equation of a parabola whose directrix is 0.25 and has a focus at (– 2, 5.75). -

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Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: Find the equation of parabola “y = ax2 + bx + c” passing through points (1, -6), (2, -3), (-1, 0)

A: Consider the given points and the equation of the parabola. Obtain the system of equations with a, b…

Q: Find focus of the parabola y=1/2-x-1/2x^2

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Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: Explain how to decide whether a parabola opens upward or downward.

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Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine the equation of parabola that opens upward with bertex (-12,-6) with directrix y=-17.…

A: We have to find the equation of parabola whose vertex is -12, -6 and directrix is y=-17 . Clearly,…

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: Write an equation for the parabola shown to the right. (3, 1) (2, 0)

A: The equation of parabola in vertex form: y=a(x−h)2+k where: h is the horizontal coordinate of the…

Q: What are the coordinates of the turning 6) point of the parabola whose equation is y = x2 - 2x - 4?…

A: Turning point of parabola is the vertex of parabola .  General equation of parabola :  y = (x - h)2…

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: ises 17–30, find the equations of the parabola

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Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: Sketch the parabola and line on the same graph. y = x + 4 and y = 2x + 2 %D

A: Consider the given parabola y=x2+4 and the line y=2x+2. Use online graphing calculator and sketch…

Q: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: Find the equation of the parabola whose axis is vertical and passes through (-1,0), (5,0) and (1,8).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find an equation for a parabola with vertex (3, – 6) and focus (3, – 1) -

A: We have to use general equation of parabola.

Q: Use a graphing device to graph the parabola. y2 = -1/3x

A: Use the parametric form of parabola. The parametric form for the parabola of the form y2=-4ax is…

Q: Sketch the parabola and line on the same graph. y = 3x2 − 4  and  y = 2x + 4

A: point out zero of function and line and draw graph using these points

Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

Q: Classify the conic section of each equation.  Explain how you made your decision. 13. 4x2 + 3x = y2…

A: Topic = Conic section   The equation of every conic can be written in the following form:   Ax2 +…

Q: Write an equation for a parabola with focus of (-1,1) and directrix at y =-7

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Q: determine the coordinates of the y intercept of the parabola.

A: To determine the coordinates of the y intercept of the parabola.

Q: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

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Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: The hyperbolic representation of a 160-meter-tall tower can be modeled by (x^2)/25 - (y^2)/225 = 1…

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Q: Write an equation for the parabola shown to the right.

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Q: I llustiate and Sketch the equation of parabola ?f vertex

A: General equation of parabola is of form y2=4ax or x2=4ay

Q: Find the equation for the parabola that passes through the point (-2, -4), with vertex at (3,1) and…

A: Given

Q: Find an equation of the parabola with focus (-8,5) and directnx X = 4,

A: Parabola is the locus of a point, which moves so that its distance from a point called focus and a…

Q: Write the equation of a parabola whose directrix is y = 7.5 and has a focus at ( – 4, – 4.5). -

A: The equation of parabola whose directrix is y=-7.5 and has a focus at (-4,-4.5).

Q: Describe how to change an equation to translate the parabola vertically

A: We can translate the parabolic equations vertically. To produce the new parabola that is similar to…

Q: Find the point on the parabola y=x2 closest to (6,3

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Q: Find the points on the ellipse 3x² + y“ = 3 that are farthest away from the point (1, 0).

A: For the Given Ellipse 3X2+y2=3 ,Points that are  Farthest away from the point (1,0) is calculated as…

Q: Write the equation of a parabola whose directrix is y = 10.75 and has a focus at (-3, 1.25).

A: Given :focus -3, 1.25

Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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Q: Find the equation in standard form of a parabola whose focus is at (-3,-2) and whose directrix is x:…

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Q: Find the directrix of the parabola.  y^2= -10x

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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.