Convert the following. form to general form of parabola a₁)(x-3) ²= 12 (1-4) 6.)(x-1)² = 8(4-3) 30-39 c.) (9-3) ²= 2 ୮୪

Q: 11 Write the equation of the parabola that has "a" value 3 and y-intercept 6. 0/1

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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: If the x term or the (x-h) term in the equation is squared, the parabola opens up or down. O True O…

A: TRUE Proceed as explained below...

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

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

A: We have to find the equation of parabola.

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

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: 14. Which equation represents the given O y = -4(# – 4)² + 5 1= +(7 – 4)2 + 5

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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: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: Please don't provide handwritten solution...

A: Explanation is given below:Explanation:Given equation: 5y−x2=20 Rewrite it in the standard form of a…

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 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: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

Q: Find the equation of the following parabola. Express your answer in standard form. 20 -15 -10 -5 15…

A: The standard equation of the parabola is written in the form ofy=ax2+bx+c

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

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: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Complete the square for each of the following quadratic forms

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Q: If the parabola y=x^2+C is tangent to the line y=4x+3, find the value of C. a. 5 b. 6 c. 6

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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: 10. Which equation represents the parabola that has been vertically stretched by a factor of 5,…

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