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

Q: b) Draw the parabola with a minimum value of -8, zeros at 2 and -2 and y – intercept of -8.

A: Answer

Q: What is the length of the latus rectum (LR) of the parabola y = -÷(x – 2)“ + 5?

A:

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 (unsigned) distance between the vertex and the focus of the parabola given by (x + 4)² =…

A: Given parabola equation,x + 42 = 19y + 5

Q: 2)Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal.

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

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: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

A:

Q: A parabola has its axis parallel to the x-axis, one end of its latus rectum at (-15/4,3/2) and…

A: Given Information:A parabola has axis parallel to the x-axis.Latus rectum at -154 , 32Vertex at (-1,…

Q: Which point on the graph of the parabola y 4x has the minimum distance between the graph and the…

A:

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

A:

Q: Fit a second degree parabola to the followng aata : 1 2 3 4 1 1.8 1.3 2 6.3

A:

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

A:

Q: Find the shortest distance from the point (1,4) to a point on the parabola y =2 x (a) /2 (b) 1 (c) 2…

A: To determine the shortest distance between point and the parabola,

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: Determine the DE of the family curves. Sketch the representative members. - Parabolas with axis…

A:

Q: In te ypane, the gaph of the eqation x*+4y + 4x + 24y + 24 = 0 is a circle O an ellipse O an…

A: The solution is given as

Q: Find the minimum distance from the point (4,2) to the parabola y2 = 8x.

A: We have to find the minimum distance from the point (4,2) to the parabola y2=8x.

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: What point on the parabola y=(6−x)2 is closest to the point (6​,6​)?

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

A: Let (x,y) = (x,x2) point on the parabola is closest to A Distance between (2 , 1/2) and (x,x2) is:…

Q: Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-3, -12)…

A: Given-  To graph- The parabola and tangent line which is passing through -3,-12.

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

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: 1. What is the equation of the line to the parabola y = x2 + 5x +1 through the 15 point at

A: Given, Parabola  y=x2+5x+1 Point 12, 154

Q: of the parabola. (to 3 places If he +

A: We have to find the following given conditions

Q: 13. Find the point on the parabola y* = 2x that is nearest the point (1, 4). %3D

A: As per our guidelines we can solve only one question or three sub-parts. To ask more please…

Q: Find the minimum distance between the point (5,1) and the parabola y=-x2 ?.

A: Find the minimum distance between the point (5, 1) and the parabola y = -x2?

Q: What is the minimum vertical distance between the parabola y =x2 +1and y =x -x2 ?

A: Given:

Q: [1] What is the c value of a parabola with a Vertex of (4,2) and a Focus of (4,4)?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

A:

Q: Find the minimum distance from the point (4, 2) to the parabola y2 = 8x. A 4/3 B) 2/7 © V3 D 2/3

A:

Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

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 point on the parabola y = 1-x is closest to the point (1,1)? The point on the parabola y = 1-x2…

A:

Q: What point on the parabola y = 5-x is closest to the point (5,5)? The point on the parabola y = 5- x…

A:

Q: Two parabolas are given: - C₁ is the curve of intersection between y = 1-2² and 2 = - C₂ is the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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: Plot both the following curves on the same set of axes. r = 5 − 4cos(θ), and the parabola y = x².

A: We have to Plot both curves on the same set of axes. r = 5 − 4cos(θ), and the parabola y = x².

Q: What is the families of the curve of all Parabolas with axis parallel to the x-axis

A: The equation of a parabola with vertex at (h,k) latus rectum equal to 4a and axis parallel to X axis…

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

A:

Q: 10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y…

A:

Q: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: Find the shortest distance of the point (6,3) to the parabola y=x2

A:

Q: If P(a, a²) is any point on the parabola y = x², except for the origin, let Q be the point where the…

A: To Determine: If P(a,a2)is any point on the parabola y=x2,except for the origin,let Q be the point…