A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance from the line y = 2. Which form does the equation of the given parabola fit? O (x - h)2 = 4c(y - k) O (y - k)2 = 4c(x - h) where h =3 k = 1 C = 3 Draw the graph of the parabola on the grid below.

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

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

Q: 11. Determine the equation of a parabola that has a vertex (-5, -2), has a maximum, and is congruent…

A:

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A:

Q: 15. A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8).…

A: Topic = Parabola

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: 8) Find the equation of the parabola in vertex form. (A) y=3(x-2)2+2 (B) y-3(x-2)2-2 (C) y-3(x+2)2+2…

A: Topic - equation of a parabola A parabola is a conic section made by the intersection of a right…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

A:

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A:

Q: The orthogonal trajectory of y=cex is a parabola of the form y2=ax+b. Find the values of a and b so…

A: See the details solution in below

Q: The parabola y = -r² + 4 has vertex labelled P and intersects the r-axis at the points labelled A…

A:

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

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

A:

Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

Q: 5. Sketch the parabolas showing the intercept and the maximum/minimum points. a) y = 2x – 4x +7 b)…

A:

Q: The hill has the shape of a cone, which in the XYZ system has the equation z = 4 - sqrt(x^2+y^2) A…

A: Given that hill has the shape of the cone given by z=4-x2+y2 and the tourist moves uphill whose path…

Q: 3. Write an equation for the parabola with focus (1, 3) and vertex (0, 3). a. y = 4(x – 3)² b. y =…

A: Given:      focus =1,3      vertex =0,3  The focus and vertex are horizontally aligned, so the…

Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

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: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A: The given data: Distance of the point (x, y) from (3, 4) = Distance of the point (x, y) from the…

Q: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

Q: Find an equation of the parabola with vertex (3, 4) and directrix y = 1.

A: Graph of parabola :

Q: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: Find the equation of the parabola with vertex V (5,5) and directix the y-axis.

A: we have to find the equation of parabola

Q: Find the points of intersection between the parabolas y = 6 - x 2 and y = x 2 - 2. %3D

A:

Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Problem number 8 is solved. Solving more than one question is against the policy of bartleby.

Q: Graph the parabola. y =x²- 4x+8 Plot five points on the parabola: the vertex, two points to the left…

A: We need make a table for five values on graph

Q: The equation of the parabola that has a horizontal axis of symmetry, touches the line x= - 8 and has…

A:

Q: 5. Find the equation of the parabola that has a horizontal axis of symmetry, passing through the…

A: the general equation of a parabola is x=ay2+by+c                            (1) horizontal axis…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Solar cookers provide an alternative form of cooking in regions of the world where consistent…

A:

Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

A: To find the general equation of the parabola with horizontal axis which crosses the x‐axis at x=2,…

Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

A:

Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

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: The graph of a parabola in the xy-plane has the following characteristics. It opens downward. It…

A: Given- The graph of a parabola in the xy-plane has the following characteristics. It opens…

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A:

Q: A landscape architect is designing an elliptical pool that will fit in the center of a 20-by-30-…

A:

Q: Find the points of intersection of the parabola with equation 2x + y² + 4y – 2 = 0 and the line…

A: Here we find the intersecting point of parabola and the line.

Q: The revenue from selling x units of a product is given by y = -0.0002x2 + 20x. How many units must…

A: We have to find how many units must be sold in order to have the greatest revenue.

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: What is the equation of parabola with vertex at (-2,0) and focus at the intersection point of the…

A: Given: (x+2)^2=-16y-64 and (x+2)^2=16y+64

Q: A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8). Find…

A: Topic = Parabola

Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Note:-  In the given questions No. 7 is incomplete because in this option(a) is missing + and -…

Q: 1. The vertex of the parabola y – 5 = (x + 8)°. A. (5,-8) В. (-5,8) С. (8,-5) D. (-8,5)

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

Q: 41. A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8).…

A: General form of a parabola:If a parabola has a vertical axis ,the standard form of the equation of…

Q: Find the Equation of a Quadratic (Parabola) Given 3 Points y=a^2+bx+c (0,0), (-3,3), (3,3) Also,…

A:

Q: 6. After a reflection in the x-axis, the parabola y =x -4 would have the equation (1) y=x²+4 (3)…

A: Reflection in x axis

Q: Find the X-intercept(s) and the coordinates of the vertex for the parabola y=-x² - 4x - 4. If there…

A: topic- parabolas