What is the families of the curve of all Parabolas with symmetric axis parallel to the y-axis and passing to the origin. Draw the graph.

Q: Give the property that defines all parabolas.

A: A parabola is a plane curve and it is mirror-symmetrical and approximately it can be in the shape of…

Q: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x

A: GivenP(6.0)y2=8x To find nearest distance

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: 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: Which point on the graph of the parabola y = 5x² has the minimum distance between the graph and the…

A:

Q: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

A: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: Determine the equation in standard form of the parabola that satisfies the given conditions…

A: Given that :

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

A:

Q: What is the y-intercept of the following parabola?

A: The question is taken from the parabola in which we have to find the y-intercept of the given…

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: The vertical line passing through the vertex of a parabola is called the ......... .

A: Given The vertical line passing through the vertex of a parabola is called the ......... .

Q: . What is the snortest distance between the parabola y=2x² and the line y=4x-4

A: Shortest distance between two curves are always along the common normal.

Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

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

A: We have to find the equation of parabola whose vertex is -12, -6 and directrix is y=-17 . Clearly,…

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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

A:

Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: Graph problem...

Q: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

Q: In your own words, explain the relationship between the rectangle that you draw to graph a hyperbola…

A:

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: 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: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

A:

Q: What are the slopes of the asymptotes for the hyperbola whose equation is 4x2-9y? = 36? %3D

A: Here, the given equation of the hyperbola is: 4x2-9y2=36 In standard from it can be written as:…

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 parabola and line on the same graph. y = 3x2 − 4  and  y = 2x + 4

A: point out zero of function and line and draw graph using these points

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: Define the term parabola?

A: Given: The term parabola.

Q: What is the axis of symmetry of the parabola with equation (y - 1) = 4 (x – 1) ?

A:

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: Suppose a golf ball is driven so that it travels a distance of 200 feet as measured along the ground…

A: Given:A golf ball travels a distance of 200 feet as  measured along the ground and reaches an…

Q: Correctly match up the vertex and axis of symmetry for this parabola.

A: We have to find the vertex and axis of symmetry according to the given information

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: What is the line that cuts a parabola into two equal parts? * Your answer

A: Topic:- geography      axis of symmetry: A line that divides the parabola into two equal halves and…

Q: Regarding the graph at the right, the parabola is:

A:

Q: The graph of a parabola is a straight line. How do i Explain and correct the error?

A: The equation of a parabola is quadratic i.e. of degree two.

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

A:

Q: What is the equation of the standard parabola with its vertex at the origin that opens downward?

A: we have to find the equation of the standard parabola with its vertex at the origin that opens…

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: Find the equation of a parabola that has focus at (-4,0) and directrix 2

A:

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: Suppose a golf ball is driven so that it travels a distance of 200 feet as measured along the ground…

A:

Q: Find the equation in standard form of a parabola whose focus is at (-3,-2) and whose directrix is x:…

A:

Q: Give the equation of a parabola with vertex at the origin

A: Given that vertex at the origin to the parabolaTo find equation…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.