Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the points (2,1) and (18, 3).

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

A:

Q: What is the turning point of the parabola whose equation is y = 2x2 + 4x- 3? А (1,3) С 2, 13) 8…

A: The turning point is the vertex.  The formula is   -b2a given equation y=2x2+4x-3compare the…

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. y =…

A: y=-3x2-18x-39 The graph is,

Q: Find the equation of the parabola in general form with vertex (-1,2) and focus (-1,–2).

A:

Q: Find the equation of a parabola, in vertex form.

A: Equation of the parabola in vertex form is given by :y=a(x-h)2+kwhere (h,k) is vertex of the…

Q: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: What is the y-intercept of the graph of the parabola whose equation is y = x² – 2x- 8? A (4,0) B…

A: The point where a line or curve crosses the y-axis of a graph.  In other words: find the y value…

Q: Find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

A: we have to find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

A:

Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5

A:

Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: Find the equation of the parabola in standard form vertex at the origin passing through the point…

A:

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: 9x2 - y2 = 10 - 2y

Q: Write an equation for the parabola with a vertex at the origin and focus (5,0).

A: Since the vertex and focus are on the x-axis. So the standard form will be: Given that the vertex=…

Q: Write an equation for the parabola for the parabola with axis vertical and containing the points…

A: ACCORDING TO BARTLEBY GUIDELINE, SOLUTION OF THE FIRST QUESTION WILL BE PROVIDED.

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

A: Given the points are, 0,3,(-2,1) and (6,-3)

Q: Ay 3-

A:

Q: What are the coordinates of the turning 6) point of the parabola whose equation is y = x2 - 2x - 4?…

A: Turning point of parabola is the vertex of parabola .  General equation of parabola :  y = (x - h)2…

Q: Write the vertex form of the equation of the parabola that has a vertex at (-8, -3) and passes…

A: The equation of a parabola in vertex form is: y = a(x - h)2 + k where ( h , k ) are the coordinates…

Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

Q: Write an equation of a parabola with a vertex at the origin and a focus at (4, 0)

A:

Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: Find the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

A:

Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

A:

Q: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

A:

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: the given equation is: x2+6x-y2=7 we have to identify the graph of the given equation as a parabola…

Q: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

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

A: We have to find the vertex

Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

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

A:

Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

A:

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

Q: Write the equation of the parabola in standard form, whose vertex is (-3, -4) and the graph passes…

A: Given: vertex-3,-4 and passes through point1,4 we know that equation of parabola in standard form…

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given that, y2=143-x2

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: Find an equation of the parabola with vertex (2, −3) and focus (2, −7).

A: (a) The standard  equation of parabola  is           (x - h)2 = 4p (y - k), where the focus is (h, k…

Q: Write the standard form of an equation of a parabola with vertex (h, k and vertical axis of…

A: Given that a parabola has a vertex at (h, k) and it is vertical axis of symmetry.

Q: Write the standard form of an equation of a parabola with vertex (h, k) and horizontal axis of…

A: The standard form of the parabola, if the parabola is vertical:

Q: What is the x-coordinate of the vertex of the parabola whose equation is y=3x^2+9x -3 -2/3 -1 1/2

A: Given : y= 3x2 +9x

Q: Find the standard form of the equation of the parabola with vertex (3, −4) andfocus (6, −4).

A: Given that, the vertex of a parabola is (3, −4), and its focus is (6, −4). Since the focus (3, −4)…

Q: e the vertex of the parabola whose equat

A: The given parabola is  (y-9)2=-4(x-2)

Q: Find an equation of the parabola whose graph is shown. y X (4, –2)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and passes…

A: To write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and…

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

A: Given: Vertex =-4,2 Focus =-4,0 Since the x-coordinate of vertex and focus is the same. Thus this…

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and (-10,…

A: Here it is given that vertex of the parabola is (0,0) and y-axis as its axis,

Q: The coordinates of the turning point of the parabola whose equation is y = x – 6x + 8 are A (3,35) ©…

A: Given,  Equation of parabola: y= x2 - 6x + 8 We need to determine the coordinate of turning point…

Q: Find an equation of the parabola with vertex (2, – 3) and focus (2, – 5).

A:

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.