determine an equation for the blue parabola in standard form

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: What is the vertex equation of a parabola with a vertex at (-5,-8) that has been reflected about the…

A: It is given that the vertex of the parabola is -5,-8. It is given that the equation of parabola…

Q: Describe how to find a parabola’s vertex if its equation is expressed in standard form. Give an…

A: The standard form of a parabola is y = ax2 + bx + c. To find the x coordinate of the vertex, use the…

Q: Find the equation of the directrix of the parabola y=16x.

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Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Find the vertex and focus of the parabola represented by the equation (y-2)^2 =-16(x-3)

A: y-22=-16x-3 Comparing with y-k2=4px-h, we get h=3,  k=2  &  4p=-16⇒p=-4

Q: -16 + -12 -8 -4 20 94 16- 12+ 8 4 -8- + -12+ -16+ 4 8 12 + + 16 20

A: y2=7x

Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: A parabola with its axis of symmetry parallel to the x-axis has the vertex at the point (-3,2). If…

A: The equation of parabola is y=a(x+h)2+k  where (h,k) are the vertex of the parabola.

Q: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

A: This question can be solved using the concept of conic section.

Q: A parabola whose equation is x ^ n-8Y = 12ny Find its focus and the equation of its guide

A: we know general formula of parabola X2=4ay So we put n=2 and find the equation of a parabola and…

Q: Find the equation , in standard form, of the parabola with the specified features.   Find the…

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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: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

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Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: Write the equation of the hyperbola 25x^2-9y^2-150x-36y-36=0 in standard form.

A:

Q: Write the standard equation of each parabola. Find the focus and make a graph. (i) passes through…

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Q: Point A(2; 3) is the intersection point of the asymptotes of the hyperbola, а h(x) = x - P A(2:31|

A: To find : The equation of the parabola , p(x)