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

Q: Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1. f(x) 4 O (x) =…

A:

Q: Find the angle at which the parabola y=x2−14 intersects the positive x−axis.

A:

Q: Find the focus and directrix of the parabola. 2y2 + 2x + 20y + 52 = 0

A:

Q: Sketch the graphs of the parabolas (a) x² = 12y (b) y² + 8x = 0 and show the focus and directrix of…

A: If we have parabola in the form of  x2 = 4ay, which is a upward parabola    Then equation of…

Q: 9. Find b and c so that the parabola y = -3x? + bx + c has intercepts 1 and – 4.

A:

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

A:

Q: 3- The parabola y= ax'+bx+e, mean that the equation y ax' is . .........

A:

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

A: Explained below

Q: Find the vertex, force, and directrix of the parabola x^2=7y

A:

Q: The parabola y=x^2+13 has it's focus at the point (b,c) where  b= c=

A: The given equation of the parabola is, y = x2+13. Also the parabola has its focus at (b, c).Consider…

Q: A] Find the length of the arc of the semi-cubical parabola y² = x3 (1,1) and (5,5V5). between the…

A:

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix x…

A:

Q: Find the equation of the tangent to the hyperbola x2 - 4y2 = 9 at (5, 2).

A:

Q: Find b and c, given that the parabola y = x2 + bx + c passes through (0, 5) and (3, 23).

A: (0,5) means when x=0 then y=5. similarly, (3,23) means when x=3 , then y=23.

Q: Find the vertex and opening of the parabola 1. y = 2x^2 − 2 and y = x^2 + x

A: Use second derivative test

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1. 1 O f(x) = -- 2…

A: We can derive the equation of parabola as below.

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: Show that the number 4p is the width of the parabola x2 = 4py (p>0) at the focus by showing that…

A:

Q: Find the evolute of the parabola y=x2.

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: How far from the x axis is the focus of the hyperbola (x^2)- (2y^2) + 4x + 4y+ 4 = 0?

A: the given equation of hyperbola is  x2- 2y2+4x+ 4y + 4 =0 it is asked to find how far is focus of…

Q: The parabola y =- x² + x +1 opens

A: Let y = ax2+bx+cIf a>0 then parabola open upwardIf a< 0 then parabola opens downward.

Q: Sketch the parabola y = x² + 2x +1. Use arrows to indicate the maximum and minimum values of y over…

A:

Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2

A:

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

A:

Q: Is and directrix of the parabola: (y-7)²-6(x+9)

A:

Q: The vertex of the parabola f(z) = z²+ 14z + 10 is %3D

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: Find the directrix for the parabola. y = 20 (x+ 2)² - 3 1- x= -1 O y = -1 O y = -8 y 3= O x = -8

A: We will find out the required equation of directrix.

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: The orthogonal trajectory of y= Ce" is a parabola of the form y = ax+b. what is the value of b so…

A:

Q: Find the vertex, focus and endpoints of the latus rectum of the parabola  4y^2 - x + 2 y = 0

A:

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

A:

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

A:

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: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: 28. Find the directrix for the parabola. (y+ 3)2 + 8 2x x = 4 y = } 7/2

A:

Q: *.. .... Find the standard form of the equation of the parabola with the given characteristic(s) and…

A:

Q: Find the vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

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: Find the standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

Q: 1) Find the intercept(s) and vert ex of the parabola. y=x^2-1

A:

Q: Calculate y′′ for the parabola equation y2=4x.

A:

Q: Find the directrix of the parabola.  y^2= -10x

A:

Q: Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0).

A:

Q: Find the vertex Focus and divertrix to given the parabola x2 +6x+8y+25-0

A: The given equation is: x2+6x+8y+25=0 That can be written as…