10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y – intercept of (0,5)

Q: b) Draw the parabola with a minimum value of -8, zeros at 2 and -2 and y – intercept of -8.

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 4 – x². What…

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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: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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Q: 2)Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal.

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

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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: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2.

A: Let's find differential equation.

Q: 3. Where do the asymptotes intersect for the hyperbola y = ( 2x +3 ) / ( 8x +5 ) O ( 3/8 , 2/5 ) O…

A: Given : Hyperbola y =2x + 38x + 5   To find the asymptotes.

Q: 3) Fit a parabola to the data. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: A second-degree ee equation represents a parabola. The general equation of a parabola is y =…

Q: 15 2. Find the equation of a parabola through(-, 2) and (0,–1) whose axis is parallel 4 to the…

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Q: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

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Q: Any point on the parabola can be labeled (x, y), as shown. 4 3 2 (*, y) ¢ -6 -5 -4 -3 2 - 1 2 3 4 5…

A: According to figure equation of parabola in standered form X2=4bYnew equation of…

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 6) are O Vertex = (-5, –6);…

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Q: A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two…

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Q: Fit a second degree parabola to the followng aata : 1 2 3 4 1 1.8 1.3 2 6.3

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Q: A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=2−x^2.…

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Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

Q: 8. Find a, b and c so that the parabola whose equation is y = ax² + bx + c has the vertex at (3,2)…

A: As we know that for the parabola y=ax2+bx+cthen its vertex is given by (-b2a,4ac-b24a)

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

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Q: 2. What is the equation of a horizontal hyperbola with (x-4)² 81 (y + 3)² 81 (x-4)² 25 (x-3)² 25 (y…

A: Given problem:- What is the equation of a horizontal hyperbola with a center at (4,-3), a transverse…

Q: A rectangle has its two lower corners on the xx-axis and its two upper corners on the parabola…

A: Topic:- application of derivatives

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: Sketch the parabola y = x² + 2x +1. Use arrows to indicate the maximum and minimum values of y over…

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Q: A rectangular object 25 m wide is to pass under a parabolic arch that has a width of 32 m at the…

A: The arch can be modeled by the vertex form of a parabola centered at the origin with the base being…

Q: 13.2y – x = 4

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Q: 10. a) Find an equation for the parabola with vertex (1, 4) that passes through the point (3, 8).

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Q: How do I solve this optimization problem?

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Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

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

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 –…

A: first we have to draw the sketch of y = 1-x2 and draw a rectangle beneath it From the graph we can…

Q: [1] What is the c value of a parabola with a Vertex of (4,2) and a Focus of (4,4)?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

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Q: History of math question dealing with projective geometry need help on please

A: To identify the lines corresponding to the two points at infinity of the given hyperpola

Q: 1. Sketch the graph for a parabola with AOS at x = -3, minimum of 2, and an y-intercept at 5. Label…

A: We are authorized to answer one question at a time, since you have not me mentioned which question…

Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: 3- The parabola y= ax'+bx+c, mean that the cquation y = ax is .........

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: ) and hyperbola xy = 3 Show thet the ellipse x +3f=3 interseet of right ongle

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Q: 4. What is the family of curves for all parabolas with axes parallel to the y-axis. Add File

A: We will find out the required solution.

Q: A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating…

A: Let's find how far from the vertex should the bulb be placed.

Q: 1. Which of the following best describes the graph of y = x? – 4x + 2? a parabola with a vertex at…

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Q: 2. Suppose that the graph of y = ax²+bx+c is a parabola which vertex is V (-3, 7), what is the…

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

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

Q: 1. Give the (x, y) coordinates of the vertex of the parabola y= x - 2.x + 5, and indicate whether it…

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Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

A: The solution of the problem is given in the next step.

Q: 19 Find the minimum value of the parabola y = x – 8x +

A: The minimum value of the parabola or any curve is obtained where y' = 0

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x2. What…

A: First draw the situation roughly