What is the vertex of the parabola y = (x – 1)2 – 3? %3D

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 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: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 2=2X Find the point that is close' to the pont'(,4) on the parabola y

A: Explained below

Q: A parabolic arch has an equation of 7x + y- 260 0. Find the maximum height of the arch. units

A: The equation of parabolic arch is: 7x2+y-260=0

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: 13. The parabola y = x2 + x + 1 opens: A. To the right %3D B. To the left C. Upward D. Downwarč

A: y=x2+x+1 here parabola is in the form of y=ax2+bx+c which means it can be open up or down…

Q: solve for the point on the graph y=√3x+ 2 that is closest to (3,0). What is the minimal distance…

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Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

Q: 5. Sketch the parabolas showing the intercept and the maximum/minimum points. a) y = 2x – 4x +7 b)…

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Q: Consider the graph of  y = ax2 + bx + c, where a = -3, b = 2 and c = 1.  Is the parabola concave up…

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Q: A parabolic arch has an equation of 3x 2 + y – 300 = 0. a) What is the maximum height of the arch?…

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Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

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Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

Q: Find the evolute of the parabola y=x2.

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Q: find the points on the parabola y=x^2 closest to the point (0,1)

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Q: Find the area of the segment cut off from the parabola x2 = 8y by the line x- 2y + 8 = U. %3D

A: Introduction ::

Q: Given y2 = 4px with p<0, the parabola opens (upward/downward/left/right).

A: Given, function

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

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Q: 5.Find the point on the parabola x? = 4y nearest to (0,4).

A: Given:      x2 = 4y    Point : ( 0 , 4 )

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: Find the minimum distance from the point (4, 2) to the parabola y² = 8x. A 4/3 (B 2/2 /3 D 2/3

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Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

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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: Given the general form of a parabola x2+8x-28y+10=0, what is the y coordinate the vertex? k=_____.…

A: Given that the general form of a parabola is x2+8x-28y+10=0 . Here we have to find the y coordinate…

Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: Find the point on the parabola x = t, y = t2, -∞ < t < ∞ closest to the point (2, 1/2).

A: Given Data The first equation is x=t. The second equation is y=t². The point is (2,1/2).…

Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

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Q: ind the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter…

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Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

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

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Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: Find the minimum distance from the point (4, 2) to the parabola y2 = 8x. A 4/3 B) 2/7 © V3 D 2/3

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Q: For the parabola -2x 16y +4y2 + 13, for what value of y does r have a minimum?

A: This question is taken from the calculus in which we have to find the value of the y which makes the…

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: Express your final answer in Mdx + Ndy = 0 1. Parabola whose vertex is at point P(13, 60).

A: The given data is: 1. Parabola whose vertex is at point P (13,60), Express your final answer in…

Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

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Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

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Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

Q: The a value in the function f(x) = 2x2 makes the parabola %3D O more wider moves it left

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Q: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: I For the parabola -2x = 16y + 4y² + 13, for what value of y does x have a minimum? 3. If the

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Q: Find the shortest distance of the point (6,3) to the parabola y=x2

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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.