Select all of the quadrants that the parabola whose equation is x = y² + 1 occupies. I II III IV

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

A:

Q: Which of the following equations is the equation of tangent to the parabola y2 = 2x + 8 at point…

A: The given equation of parabola is: y2=2x+8

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

A:

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

A:

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Find focus of the parabola y=1/2-x-1/2x^2

A:

Q: Find an equation for the indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

A:

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

A: Introduction :

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

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

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

A:

Q: 12. Use vertex form to write the equation of the parabola. y= 3(x+2)° +2 y= 3(x- 2)° +2 y= 3(x- 2)°…

A: best and easiest way is one by one checking if the given option satisfy the given points (-2, 2) and…

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

A:

Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

A:

Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

Q: ises 17–30, find the equations of the parabola

A:

Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two answers…

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

Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

A:

Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

A:

Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: ASAP PLS. The given equation of a parabola is y=x2-2x-3. Suppose you shift the parabola 2 units to…

A:

Q: Find the axis of symmetry and vertex for the parabola y=x^2-2x+3.

A: Topic-parabola

Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: 10. Find an equation for the parabola with vertex (0, 0) and focus (4, 0).

A:

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

A:

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

A:

Q: ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

A:

Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

Q: 2. CE Board Nov. 2004 A parabola has an equation of y2 + 4y – 4x - 8 = 0. Locate the vertex of the…

A: Given: Equation of the parabola:y2+4y-4x-8=0 To Find: the vertex of the parabola Concept: if…

Q: Write the equation for a parabola with a focus at (-6,0) and a directix at x=-2

A:

Q: Find all the values of b such that the parabola y=(1)/(8)x^(2)-bx+(9)/(2) will have a directrix…

A: the given equation of the parabola is y=18x2-bx+92. we have to find all the values of b so that the…

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: The equation of parabola on x-axis of symmetry is y^2 = 4ax.

Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: -4 Determine the standard form for the equation of a parabola with directrix x = (4,-2).

A: In this question we have to determine the standard form for the equation of a parabola.

Q: The focus of the parabola x2 =  8y is

A: I am going to find the focus of the parabola by comparing it with the standard form of parabola.

Q: b. Find another equation of the parabola with vertex of coordinates 131 and containing the point of…

A:

Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and…

A: topic  -  parabola

Q: Determine the standard equation of parabola Show your solutions X²+2y+y-1=0

A:

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…

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.