The parabola y directrix. x-3)+ 6 has its focus at (3,1). Determine and state the equation of the 20 %3D 10 Focus -15 -10 -5 10 15

Q: The focus of the parabola y^2 = 4x is at

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Q: Find the equation of the parabola with focus (5, 0) and directrixx = -5. а. b. x' = 20y c. y' = 20x…

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

Q: 5. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? O y = (# – 1)2 +…

A: y= (1/4) *(x-1)^2 +3

Q: 2. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? Oy = 4(a- 1)2 + 3…

A: Here, the parabola is of the form (x-h)2=4a(y-k) Whose focus is given by (h,k+a)=(1,4) given…

Q: Find the equation of the parabola with focus (-3, 0) and directrix x-3.

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Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: The equation of the shown parabola is Focus Select one: O a. x2 -2x-4y-3=0 O b. y-2y-4x-3=0 O c. x2…

A: Given: The graph of a parabola with vertex at (−1,1) and focus at (−1,2) as shown below:

Q: 2. Find the equations of all horizontal parabolas whose focus is the center of the ellipse 9a? +17y²…

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Q: 31. Find the coordinates of the focus of the parabola whose equation is x² – 18x + 24y + 273 = 0. С.…

A: Since you have asked multiple unrelated questions in a single request, we would be answering only…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (0,…

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Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

A: Consider the following values: Focus=9,0Diretrix⇒x+9=0 Standard form of the equation of the…

Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4),…

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Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: Find the equation of the parabola with focus at (5, 0) and directrix x = −5.

A: Focus lies on x-axis.

Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Find the equation of the parabola with focus (8,0) and directrix x -8

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Q: 22. The equation x2 + BX + y + Cy + D = 0 is: A. Hyperbola B. Parabola C. Ellipse

A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0 where A, B, C, D, E, F are…

Q: Find the standard form of the equation of a parabola given the following conditions: a) Directrix y…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

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Q: How far from the x axis is the focus of the hyperbola (x^2)- (2y^2) + 4x + 4y+ 4 = 0?

A: the given equation of hyperbola is  x2- 2y2+4x+ 4y + 4 =0 it is asked to find how far is focus of…

Q: What is the standard form of the equation of the parabola with the focus (1, –3) and the directrix x…

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Q: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.

A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.

Q: Find the standard form of the equation of a parabola with focus (8,0) and directrix x = -8.

A: Focus is, a, 0=8, 0⇒a=8 Directrix is x=-8.

Q: find the equation of the parabola with the given  Focus (2, 0), directrix x = −2

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

Q: Consider the following equation of a parabola. (y - 6) = 4(x - 6) %3D Step 1 of 3: Find the focus of…

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Q: find the equation of the parabola with the given properties. Focus (2, 0), directrix x = −2

A: The formula for a parabola in vertex form is:

Q: Find the standard form of the equation of the parabola. Focus at (0, 4), directrix y = -4

A:

Q: Find the equation of the parabola with focus (1, −4) and directrix y = 0.

A: Given the following to find the equation of parabola.

Q: Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7)…

A: Topic:- geometry

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Find an equation of the parabola that satisfies the given conditions.Focus F(6, 4), directrix y = -2

A: Given: Focus F(6,4) directrix y=-2 To find: the equation

Q: given the directrix of y = 6 and focus of (0, 4) which is the equation of the parabola

A:

Q: 2. Find the equation of the parabola with focus (2, 0) and directrix x = -2. а. b. x' = 8y c. y = 8x…

A: Since you have asked multiple questions according to our company guidelines we are supposed to…

Q: B. Find the general form of the equation of the parabola: 1. With focus Fat (2,7) and directrix e: y…

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Q: Find an equation of the parabola with focus (4, 4) and directrix x=0.

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (7,…

A: Parabola: The focus of the parabola is (7,1) Directrix of the parabola is y=-9. The equation of…

Q: Find the equation of the parabola with focus (-4, 0) and directrix x = 4. a. x? = 16y c. x? = -16y…

A: Given Focus = (-4, 0)  and directrix x=4

Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

A:

Q: Find an equation of the parabola with focus (15/2, 0) and directrix x= -13/2

A: The vertex will be the midpoint of (15/2, 0) and x= -13/2 So, vertex is:

Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (-2, -5),…

A:

Q: 12. Determine the equation of the directrix for the parabola 20x=y2–10y+30 а. X-20 b. y=-20 с. X3-20…

A: Question : Determine the equation of the directrix for the parabola 20x = y^2 - 10y +30.

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (2,…

A: Consider trhe focus of the parabola is 2,4 and the directrix is x=-4. Let x,y be any point on the…

Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

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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.