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

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: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…

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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: Write the equation of a parabola whose directrix is y=-10.75 and has a focus at (−7,−1.25)…

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Q: at

A: Given focus (-5,7) Directrix x=1

Q: Find an equation of the parabola whose graph is shown. y Focus

A: In this problem , parabola symmetric about y - axis . Vertex form of parabola if symmetric about y -…

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

A: Given: Focus: F0,-34 To Find: Equation of the parabola that has vertex at the origin and satisfies…

Q: Write the equation of a parabola whose directrix is y = 0.25 and has a focus at (-1, - 2.25).

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Q: Sketch the graphs of the parabolas (a) x² = 12y (b) y² + 8x = 0 and show the focus and directrix of…

A: If we have parabola in the form of  x2 = 4ay, which is a upward parabola    Then equation of…

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

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Q: Find an equation for the indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

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

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Q: Find the focus and directrix of the parabola y2 = 10x.

A: given: the equation of the parabola: y2=10x

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: The parabola y=x^2+13 has it's focus at the point (b,c) where  b= c=

A: The given equation of the parabola is, y = x2+13. Also the parabola has its focus at (b, c).Consider…

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

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Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)

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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: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

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

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Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: Determine the equation of the parabola using the given information. Focus (0, −3) and directix y =…

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Q: 12

A: In this question, concept of parabola is applied. Parabola A parabola is a curve equation in which a…

Q: Find an equation of the parabola in standard form: with focus at F(7,-1) and directrix 6 units from…

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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: Write the Equation of the parabola: Focus: (0,5), Directrix: y= -3

A: We have to find the equation of parabola

Q: Find an equation of the parabola that has focus F (-3,-3) and directrix y = 1

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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 an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

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

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Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

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

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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: Derive an equation for the parabola with focus (a , b) and directrix x = c

A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that  |Af|= |AD| Where Af=…

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

A: Given:Focus0,20Directix y=-20Parabola:x-h2=4p y-k

Q: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Find an equation of the parabola that satisfies the given conditions.Focus F(-3, -2), directrix y =…

A: We have given the equation of directrix is y=1 which parallel to the x-axis. The standard equation…

Q: Write the equation of a parabola in standard form from the given information Focus at (-5,7)…

A: Since , focus lies on x-axis Therefore , equation is either y2=4ax or y2=-4ax Now focus has negative…

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: 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 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 that satisfies the given conditions.Focus F(0, -4), directrix y = 4

A: To find: The equation of the parabola that satisfies the given conditions. Given information: Focus…

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.