Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…
A: Consider the provided parabola, 20x=y2 Find the vertex, focus, and directrix of the parabola. Sketch…
Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…
A: y2-4y-2x-4=0 On simplification, we get ⇒y2-4y=2x+4⇒y2-4y+4=2x+4+4⇒y-22=2x+8⇒y-22=2x+4⇒y-22=2x--4 Now…
Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…
A:
Q: Write an equation of a parabola with vertex at origin, focus on the positive x – axis, 2 units away…
A: If the equation of parabola y2=4px then the axis of the parabola is horizontal and vertex is (0, 0)…
Q: (equation of the parabola) * Parabola with vertex and focus on the y-axis
A: We have to draw parabola with vertex any focus on y -axis
Q: Parabolas with vertex on the y-axis, with axis parallel to the x-axis, and with distance from focus…
A:
Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3),…
A:
Q: the equation for the parabola that has its vertex at the origin and has a focus at (0, 3.6).
A:
Q: Parabolas with axis parallel with the y-axis and with distance from vertex to focus fixed as a. Ans.…
A: The given problem is to find the differential equation for the given parabolas with axis parallel…
Q: Sketch each parabola: label the intercepts, axis of symmetry, and vertex. y=-x²-2x+7 Xintercepts are…
A:
Q: A parabola has its vertex at (2,-3) and it's y-intercept at 5. Write an equation of the parabola in…
A: Vertex (2,-3) y intercept at 5 y=a(x-h)2+k
Q: graph the parabola. determine the focus, vertex, and directrix x2 = -12y y2 = -14x 1/8 ( x -…
A:
Q: Graph the parabola. y= - 3x²+ + 18x– 20 Plot five points on the parabola: the vertex, two points to…
A: To graph the parabola,y=-3x2+18x-20To plot five points on the parabola: the vertex, two points to…
Q: A parabola has a vertex at the origin and a focus of (0, - 7). What is the equation of the parabola.
A:
Q: sketch a graph of each parabola. Label the coordinates of the vertex and the equation of the axis of…
A: Solution: The objective is to find the vertex and the axis of symmetry
Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+1)² =2(x- 5)
A:
Q: A parabola has a vertex at the origin and a focus of (0, 7/4). What is the equation of the parabola.
A:
Q: (y - k)² a² (x - h)² b2 1
A:
Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y– 1)² =-7(x+3) |
A: Given:- (y-1)2 =-7(x+3) To find:- Vertex, focus, Directrix, Axis of symmetry
Q: 3. Does this parabola have a minimum or maximum and what is its value? В. -3
A:
Q: Sketch a parabola with zeros at -5 and 7. Will everyone's sketch look the same? Explair answer.
A: In this question we will use basic of algebra i.e concept of parabola or quadratic equation. First…
Q: All parabolas concaving dowward with distance from the vertex to focus fixed, and with vertex lying…
A: The most probable graph of the equation The general form of the equation must be (x-a)2=b(-y+4)…
Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…
A: To find the standard equation of parabola Given Axis is parallel to y-axis Parabola passes through…
Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.
A: Actually, there cannot be two different parabolas with same focus and vertex..
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: 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: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (v-2) = 5(x+ 1) Vertex: OD…
A: Equation of parabola is given by: (y-k)²= p(x-h)
Q: 20. Parabolas with vertex and focus on the x-axis.
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+2)² = - 5(x-4)
A:
Q: Determine the orientation of the parabola. directrix: x=-4; p =-3 opens down opens right opens left…
A:
Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…
A: In general with respect to XY axis , we have four types of parabolas . Here we have an open leftward…
Q: 6. Find the equation of the parabola in standard form with focus at (7, -6) and vertex 5 units at…
A: As vertex is 5 units to the right of the focus , the coordinates of the vertex is 7,-6+5,0 = 12,-6…
Q: State all properties of the parabola (x+4)^2= -12(y-2) Vertex: __________ Opens: __________…
A: Given Equation of parabola x+42=-12y-2 To do State all properties of Parabola
Q: find the equation, in standard form, of the parabola of the specified features. directrix: y = -5,…
A:
Q: Find the focus, directrix, and axis of (y - 2)2 = -8(x + 3). Then graph the parabola to scale.
A:
Q: (a) What are the coordinates of the vertex of the parabola? Use of the grid below is optional. (b)…
A: We are given directrix y=4 and focus (-1,-2). We will use basic definition of the parabola to find…
Q: How did the graph change from the original parabola? √ Share With Class
A:
Q: Find the vertex, focus and directrix of the parabola: (y-7)2-6(x+9)
A: Given equation of the parabola is: (y - 7)^2 = 6 (x + 9) (y - 7)^2 = 4. (3/2), (x + 9) The above…
Q: Parabolas with vertex on the x-axis, with axis parallel to the y-axis, and with distance from focus…
A:
Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. x - 2x + 8y + 9-0…
A:
Q: 3. parabola, 4. How can we determine whether a parabola has a vertical or a horizontal axis? 5. How…
A: 4) If x is squared then the parabola is vertical ( i.e. vertical axis parabola) If y is squared then…
Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…
A: The given equation of parabola: x2=-3y
Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…
A: Given equation of parabola is: 2y2=-3x Then we get, y2=-32x⇒y2=-4·38·x The vertex of the above…
Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 4x − 6…
A: The given equation of parabola is,
Q: Parabolas with axis parallel to the x-axis
A: Parabolas with axis parallel to the x-axis
Q: What is the AOS for this parabola? b. What is the vertex for this parabola' а. С. What is the…
A: " Since you have posted question with multiple sub - parts, we will solve first three sub - parts…
Q: Write an equation of the parabola with vertex (0, 0) and directrix x = 2. An equation of the…
A:
Q: An arch is in the shape of a parabola with its vertex at the top. It has a span of 100 feet and a…
A:
Q: The family of parabolas with vertical axis and vertex at the point (1, 2).
A:
answer number 2 only differential equation
Step by step
Solved in 3 steps with 1 images
- If the focal distance of an end of theminor axis of an ellipse (referred to its axes as the axes ofx and y, respectively) is k and the distance between its foci is 2h, then find its equation.Find the DE for the given family of curves. Sketch representative family of curves. - family of parabolas having their vertices on the origin and focus on the y-axisFind the equivalent DE for the given family of curves All vertical parabolas Ans: y'''=0
- Find the coordinnates of a point on the oarabola y\power{2}=8x whose focal distance is 4.A group of engineers is building a parabolic satellite dish whoseshape will be formed by rotating the curve y = ax^2 about the y-axis. If the dish is to have a 18-foot diameter and a maximum depth of 2 feet, find the value of and the surface area (in squarefeet) of the dish.Find theequivalent DE for the given family of curves 4. allparabolas with axis parallel to x-axis.5. all circletangent to the x-axis
- Sketch the following: A. Straight line with slope and y-intercept equal. B. Circles with center on the x-axis C. Parabolas with vertex and focus on the x-axis and opening in the right D. Ellipses having its centers at the origin and transverse axis x.Find the length of the arc of the parabola y sq = x from ( 0, 0 ) to ( 1,1)Determine the DE of the family of curves. Sketch its representative members Parabolas with vertex and focus on the line y=3