Convert the following equation of a parabola into standard form. Select the correct answer below: O (y - 1)² = 2(x + 1) (y − 1)² = −2(x + 1) O (y + 1)² = 2(x + 1) O (y + 1)² = -2(x - 1) O (y 1)² = -2(x - 1) O (y + 1)² = 2(x - 1) -2x + y² - 2y - 1 = 0

Q: Write the equation of the hyperbola 25x? – 9y? + 100x + 72y – 269 = 0 in standard form (z – h)? (y –…

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Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: Which of the following is the equation of the parabola shown below? 10-y 8+ 6+ (4,2) 2- .0) + -4 -2…

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Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: x2/a2 + y2/(a2-c2) =1 from √[(x+c)2+y2]-√[(x-c)2+y2]=+-2a

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Q: The focus of the parabola defined by the equation x2 = 20 y is %3D (4, 5) (0, 0) O A. В. (0, 5)| (0,…

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Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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Q: 25. Which equation represents the parabola below? 14 O y=4x² - 6x +17 Oy=x²-4x+5 OV-2X²-8X+9 y…

A: We know  Vertex form of parabola ⇒y=ax-h2+kHere vertexh,k

Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

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Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: Find the solution(s) for theta. -3 cos 을=0

A: We have cos 90° =0cos 270°=0 Also Cosine is a periodic function. Its value repeats after each 360°.

Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

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Q: Sketch the parabola g(t) = -t2 + 4t - 3.

A: Sketch the parabola g(t) = -t2 + 4t - 3.

Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

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Q: #62. Civil engineers often design road surfaces with parabolic cross sections to provide water…

A: Given: Width of the road (w) =32 feet radius of the road (r)=322=16 feet rise at center of road 0.4…

Q: 1. Sketch the quadratic y=x²-3x+2. Find the vertex of the parabola Enter your answer in the form:…

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Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: Find an equation of the parabola drawn below: 0 Select one: 2 X a. (x-2)² = 2 (y + 2) O b. (x + 2)2…

A: We can answer the question as below.

Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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Q: How would you convince someone that y = (x + 3)2 is the basic parabola moved 3 units to the left but…

A: we have to tell how would we convince someone that y = (x + 3)2 is the basic parabola moved 3 units…

Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: Find the y-intercept and any x-intercept(s) of the parabola with equation y = -(x + 7) + 16. If the…

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: 3. Complete the table for each parabola Equation Y= -0.4(x-2)2 Y = 3(x + 5) 2 + 3 Direction of…

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Q: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

A: We are required to: Change the equation of parabola -2x+y2-2y-1=0 into standard form.

Q: Write the equation of the parabola with focus at (3,5) and directrix y = 3.

A: First I have written a formula of parabola with given focus and directrix, just use the formula for…

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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