5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis, and passes through the point (9,5).

Q: Find the equation of a parabola that has a vertex of (-5, -3) and contains the point (-4, -5).…

A:

Q: Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y…

A:

Q: Find an equation for parabola with vertex  (−1,3) and directrix x=−4.

A:

Q: (x)

A:

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: equation of the parabola  x-h2=4ay-k

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: What is the general equation of a parabola that opens upward with V(-1,2)?What is the equation of a…

A: Consider the given vertex. V=(-1,2)

Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

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

A: Topic:- parabola equation

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (1,…

A:

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A:

Q: parabola

A:

Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)V

A: Consider the given information. y−k2a2−x−h2b2=1 Since we have the given foci at F1(0,0) and F2(0,4).…

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

A:

Q: What is the equation of the hyperbola with asmptotes y=+-2/5x and a vertex of 0,2

A: The given problem is solved below in detail.

Q: 2. what is the general equation of a parabola that opens upward with v(-1,2)?

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: find the equation of the parabola with the given properties. Vertex (3, 4), directrix y = −2

A: The point of intersection of the parabola and its axis is called Vertex. The general form of the…

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

A:

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: Find the equation for the parabola that has its vertex at the 1 origin and has directrix at y 41…

A:

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 the equation of the parabola with vertex (−3,1)(−3,1) and yy-intercept 22(or (0,2)(0,2)).

A: topic - equation of a parabola

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 27…

A: Given: y=-127.

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

A:

Q: Find the standard form equation for a hyperbola with vertices at (4, 0) and (- 4, 0), that passes…

A: Solved below...

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

A:

Q: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

A:

Q: Find the equation of a parabola that has a vertex of (7, -4) and contains the point (0, 94),…

A:

Q: Find an equation for the hyperbola that satisfies the Vertices: (±1, 0), asymptotes: y = ±3x

A: Given,        Vertices: (±1, 0)    asymptotes: y=±3x

Q: Determine the points of intersection of the parabola y=2x^2 +12x +10 and the line y=4x+2

A: I am attaching image so that you understand each and every step.

Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

A: equation of parabola  (x - h)2 = 4p (y - k) where (h,k)=(0,0) vertex ordinates directrix y=3 , y= k…

Q: 1. Determine the equation of the parabola whose vertex is at the point (-1, –1) and whose directrix…

A: We have to determine the equation of the parabola whose vertex is at the point (-1,-1) and whose…

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: [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: Find the equation of the hyperbola with center at (-3,3); transverse axis parallel to y-axis; length…

A:

Q: Find the equation of a parabola that has a vertex of (2, -4) and contains the point (1, -7).…

A: Given  Vertex of parabola (2,-4)  And contains the points (1,-7)

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: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: The standard equation of the parabola is (x-h)2=4a(y=k) Where (h,k) is the vertex Here h=3, k=-2…

Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F, (0, 0) and F2 (0, 4).

A: Since, the foci of the given hyperbola are F′(0,0​) and F(0,4​) which lie on the X-axis and…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

Q: 7) Find the standard form of the equation for the parabola with vertex (1,2) and directrix y -1.

A:

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

A: vertex (4,16) points on the parabola (0,0) and (8,0) vertex form= a(x-h)2+k Standard form= ax2+bx+c

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.