1. All parabolas with axis perpendicular to x-axis and the distance between focus and vertex is c. 2. Family of lines where x-intercept is equal to y-intercept.

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the…

A:

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: Need a complete and handwritten solution, thanks! The family of circles with center at y-axis​

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

A:

Q: 4. Find the focus, directrix and vertex of the parabola (x + 2)2 = 3y - 6, then sketch the curve.

A:

Q: 2. Circle the parabolas that are stretches of the graph y = x². а) у3 1.25х? c) y = – x? b) y = 0.25…

A:

Q: Graph each equation and find the point(s) of intersection,if any.

A: Graph of the given equations & point of intersections where the equations are given as:…

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). If the parabola is…

A: According to question given that  y=x2, vertex is (5,-4)

Q: Show that the center of the osculating circle for the parabola y = x2 at the point (a, a2) is…

A: We need to show that the centre of the osculating circle for the parabola y = x2 at the point (a,…

Q: 25. A parabola is the locus of a point equidistant

A: We know that parabola is locus of the points equidistant from focus (point) and the directrix…

Q: What is the family of curves for all parabolas with axes parallel to the y-axis.

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: 7, All circles of radius 5, with their centres on the y-axis. 8. All parabolas with x-axis as the…

A:

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: We’ll answer the first question  . Please submit a new question specifying the one you’d like…

Q: b) Sketch the parabola with the graph cuts the x-axis at (5,0) and (-5,0), the directrix line y = 4…

A:

Q: 17. Parabolas with axis parallel to the x-axis and with distance from vertex to focus fixed as a. Am…

A: This question is about family of parabolas.

Q: 4. The equation of a family of circles with center an the y-axis is 5. The equation of a family of…

A: Topic:- geometry  Note:- as per our guideline if more than one question uploaded than only first…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given: Focus on the negative y-axis, 6 units away from the directrix

Q: Show that the number 4p is the width of the parabola x2 = 4py (p>0) at the focus by showing that…

A:

Q: 3. Find the equation of the parabola with focus at F(3,2) and with the line x = -4 as directrix.

A: Topic- equation of parabola from focus ans directrix.

Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: 1. A parabola with directrix y = 51 59 and one endpoint of the latus rectum at (--) 32

A:

Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

Q: What is the standard form of the equation of the parabola with the focus (1, –3) and the directrix x…

A:

Q: Given the parabola x^2=4y, a line passes through point A (4,4) and the focus of the parabola. Find…

A: Topic:- Parabola

Q: Find equations for the osculating circles of the parabola y=0.5x2 at the points (0,0) and (-1,1/2).

A:

Q: 2. Consider the equation r = 4 – y². (a) Find a parameterization of the segment of this parabola…

A:

Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

A:

Q: The centre of a circle C lies at the focus S of a parabola y2 = 4x and the radius of C is equal in…

A:

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

A:

Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

A:

Q: Find the general form and graph of the focal width of a parabola is 14 units and its vertex can be…

A:

Q: 2 What are the intersection points of the parabola given by the equation y = x“ – 9 and the line…

A: We are answering only the first question as per our honor code. Given, The equation of a parabola…

Q: Is the set of all points in a plane, the difference of whose distances from two fixed points (the…

A: For the given statement

Q: (4) Family of parabolas with axis as y (5) Family of circles whose centers on y-axis

A:

Q: 28. Find the directrix for the parabola. (y+ 3)2 + 8 2x x = 4 y = } 7/2

A:

Q: 1. Graph the curve of the parabola given its standard form of equation. 1. (x - 3)2 = 12y 2. (y +…

A:

Q: 9.  Find the shorted distance from point A(2, 1/2) to a point on the parabola y = x2. And find the…

A:

Q: Examine the two graphs below to consider the ways a line could intersect the parabola. ty 8. ty 8 4…

A: We have to check weather the given graph will intersect or not.

Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

A:

Q: 4. What is the family of curves for all parabolas with axes parallel to the y-axis. Add File

A: We will find out the required solution.

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix I…

A:

Q: 1. Which of the following best describes the graph of y = x? – 4x + 2? a parabola with a vertex at…

A:

Q: Find the shortest distance of the point (10,4) to the parabola y=x2

A: Consider a  point on parabola  y=x2. Distance of this point with (10,4) s2=(x-10)2+(y-4)2…

Q: 20. Parabolas with vertex and focus on the x-axis. llel to the y.

A:

Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

A:

Q: Determine the following details about the parabola associated with the equation y = (x + 2) – 16.…

A: Solution: The objective is to find the vertex of the given parabola

Q: 1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y- coordinate…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: On one set of coordinate axes, graph the family of parabolas f(x) = x2 + 2x + c for c = - 3, c = 0,…

A: Consider the parabola f(x)=x2+2x+c. The graphs of the family of parabolas for c=-3, c=0 and c=1…