Sketch the graph of the parabola y = 1/4(x - 1)2 + 5. Show the vertex, focus, and directrix.

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Standard form of the parabola is:  Where (h,k)= vertex  p= distance between vertex and focus

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: Find the focus and directrix of the parabola given by y2 = 8x.Then graph the parabola.

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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 equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

Q: graph the parabola. determine the focus, vertex, and directrix  x2 = -12y  y2 = -14x  1/8 ( x -…

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Q: Use a graphing device to graph the parabola. 8y2 = x

A: Parabola - Parabola is a locus of the points that have equal distance from a fixed point and fixed…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Use a graphing utility to graph x2/4 - y2/9 = 0. Is the graph a hyperbola? In general, what is the…

A: The given equation is x24-y29=0. Sketch the graph of the above equation as shown below.

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

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

Q: Find an equation for the parabola with vertex (0, 0) and focus (6, 0).

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Q: Find the equation of a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

Q: Find the focus and directrix of the parabola given by y2 = 12x. Then graph the parabola.

A: y2=12x Now comparing with y2=4ax, we get 4a=12⇒a=3 Therefore focus is, a, 0=3, 0 & directrix is,…

Q: Find an equation of the parabola whose graph is shown. y Directrix x = -2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Write an equation of a parabola with a vertex at the origin and a focus at (4, 0)

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Q: Sketch the parabola and line on the same graph. y = x2 + 5  and  y = 2x + 1

A: The equation of curves are  y = x2 + 5  and  y = 2x + 1

Q: find the equation of the parabola with the given properties. Vertex (0, 0), directrix y = −5

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Q: Write the equation of a parabola with vertex (0,0) and directrix y =-3

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Q: Sketch the parabola and line on the same graph. y = x + 4 and y = 2x + 2 %D

A: Consider the given parabola y=x2+4 and the line y=2x+2. Use online graphing calculator and sketch…

Q: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

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

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Q: Change y -4x+x +6y=2 into standard form. Identify the graph parabola. as an ellipse, circle,

A: Consider the given equation y2 – 4x + x2 + 6y = 2 We observe that the coefficients of squared terms…

Q: Use a graphing device to graph the parabola. y2 = -1/3x

A: Use the parametric form of parabola. The parametric form for the parabola of the form y2=-4ax is…

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: Sketch the graph of the parabola showing its graph showing the vertex, focus and directrix (x + 2)?…

A: (x+2)²= -8(y-1) To sketch the graph of parabola and to show vertex, focus and directrix of parabola.…

Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

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

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Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Parabola Question

Q: Write an equation for a parabola with focus of (-1,1) and directrix at y =-7

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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 for the parabola with vertex (-3,0) and focus (0,0).

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Q: Sketch the parabola and line on the same graph. y = x2 + 4 and y = 2x + 2

A: Given, y=x2+4   y=2x+2  The graph of given functions can be plotted as shown in the figure below.

Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Find the focus and directrix of the parabola y = -x2, and sketch the graph.

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Q: Find an equation of the parabola with focus (-6, -3) and directrix x= 4. ロ=ロ

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Q: Determine the equation of the parabola opens upward with vertex (-12,-6) with directrix y=-17

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

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Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. x - 2x + 8y + 9-0…

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Q: Find the vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

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Q: Determine the equation of a parabola with vertex at (2,-3) and focus at (2,0). Then graph the…

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Q: Determine the equation of a parabola given the focus at (-3/2,3) and directrix x=-37/2. Graph.

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Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 5 Vertex…

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Q: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Q: Find an equation of the parabola that has focus F(-2,2) directrix  y= -2

A: If Given the focus (h,k) and the directrix y=mx+b, then  the equation for a  parabola   is (y - mx -…