II. Change the equation to standard form. Then find the vertices, the corners of the fundamenta rectangle and the equations of the asymptotes. 18. 4y? – x2 = 144

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the…

A:

Q: find the intercepts and the equations for the asymptotes. 25x2 - 9y2 = 4

A: Standard equation of hyperbola is :                       x2a2 + y2b2 = 1⇒25x2 - 9y2 = 4  x2252  -…

Q: Which is true about the graph of y < x2 + 2x − 6?   A. The parabola is a solid line. B. The…

A: Equation : y=x2 + 2x - 6 y = x2 + 2x +1 - 7 y = (x+1)2 - (√7)2 (y+7) = (x+1)2  This is equation of a…

Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

A:

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). If the parabola is…

A: According to question given that  y=x2, vertex is (5,-4)

Q: A parabola intersects the x-axis at x = 3 and r = 9. What is the -coordinate of the parabola's…

A:

Q: O. Determine the vertex of the parabola y = x? – 14 + 40 by completing the square.

A: The parabola is  y = x2 -14x + 40

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´ +2x-3. If there is…

A:

Q: 2=2X Find the point that is close' to the pont'(,4) on the parabola y

A: Explained below

Q: Find a parabola with equation y = ax? + bx + cthat has slope 4 at x-1, slope -8 at x=-1, and passes…

A:

Q: Which point or points on the ellipse x? +4y? = 4 are furthest away from the point (0, 1)?

A: The Equation of the given ellipse is, x2+4y2=4 Let the furthest away point on the ellipse, from the…

Q: 5. Based on the graph below the equation Vx-5=-2 has no solution What culd an EXTRANEOUS solution…

A:

Q: Suppose (P, Q) is the point on the graph of y = Vx closest to (1, 0). What is the value of P+ Q?…

A: In this we have to find the closest distance and then sum up. So I'm providing hand written solution…

Q: 25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

A: f(x) = x2+8x-3 From the above equation we can see that the highest power of y is 1 and x is 2. This…

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q?…

A: Given: Point (P,Q) lies on y=x    Then (P,Q) satisfies y=x  then     Q=P Then P=Q2 Distance of point…

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 9) are

A:

Q: Solve for y by taking the square root of both sides of the equation. f (z) = +9,z <9

A: The highlighted graph is here the actual graph of the given equation. Where as other blue colour…

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

A:

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q?…

A: Shortest distance

Q: 3. Put the equation in standard form then sketch a graph indicating the foci, and asymptotes: y? –…

A: Given - y2 - 16x2 + 64x - 208 = 0 To find - Put the given equation in standard form. Sketch the…

Q: 5. Based on what you learned in the Desmos activity, answer the following questions: What's the…

A: To find: a) The difference between the graph of y=x2-4 and y=x-42. a) The difference between the…

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q? M…

A: Distance between two points (a,b),(c,d) is  sqrt((c-a)^2+(d-b)^2)

Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

A:

Q: 17. The equation of the parabola is x² + 14x + 16y + 1 = 0. Solve the following. pranaara Tomuror…

A:

Q: Find the shortest distance +rom the point (0,5)to the ellipse 3 y? = x'

A:

Q: Enter the correct coordinate point of the vertex C after a dilation with the scale factor 5. 4 3 A 2…

A:

Q: Which set of coordinates could you use to draw the vertices of a right triangle with a hypotenuse…

A: Please see the step below

Q: 5.Find the point on the parabola x? = 4y nearest to (0,4).

A: Given:      x2 = 4y    Point : ( 0 , 4 )

Q: 4. A coastline is given by y2 = x+3 with the ocean being to the right of the curve. If a boat crew…

A: Solution

Q: The distance between the towers of the main span of the Golden Gate Bridge is about 1280m; the sag…

A: We have,  y=143m,   x=12802

Q: 16. Which equation represents the given parabola?

A: We want to find the equation of given parabola.

Q: 18. If given the equation y =- 3(x + 5)2 - 4, what is the range of the parabola? A. (- 00, 00) B.…

A:

Q: 2. Write the equation for a parabola, in vertex form, that satisfies the following conditions: a)…

A: Given: The vertex: (3, -8)

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

A:

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: bétween the spheres and 2- + Y 4 if the dênsity at any point is equal to the square of its distance…

A: Given: The solid lies above the cone 3z=x2+y2 and between the sphere x2+y2+z2=1 and  x2+y2+z2=4  The…

Q: What is the largest possible area of a rectangle inscribed in the region bounded by the parabola y =…

A: According to the figure, we have

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: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

A:

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a)…

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:…

Q: х? + 2? + у%3D2 y

A:

Q: Find the vertices and foci of the ellipse: 6. (x-1) (y+3)? = 1. Round to nearest tenth if…

A: Given- x-129+y+3236=1 To Find- The vertices and focii of the ellipse.

Q: What are the slopes of the asymptotes of the hyperbola y? = -1? 4 9. o + o ±을

A:

Q: 8. y = x- 2x Axis of Symmetry: Vertex: Sketch:

A:

Q: For what values of k does the graph of y2 = 4kx pass through the point?           (a) (1, 1)…

A: a). Substitute (1, 1) in the given equation, we get b). Substitute (2, 4) in the given equation, we…