178 Answered Questions for the topic parabola

12/11/18

Parabola and Liner equation

Parabola 1 has the equation y=x^2+2x-2. Parabola 2 has the equation y+6=A(x-8)^2. Find the value of A, such that the two parabolas intersect at a point (r,r) in the same first quadrant.

12/11/18

Hi so I need to find the equation in standard form of the parabola that passes through the points: (1,-2), (2,-2), and (3,-4)

I have tried to figure out what a, b, or c equals and I just cannot figure it out and now I am crying because I have tried different things for 20 minutes now.
Parabola Vertex

12/09/18

What is the value of h?

The vertex of the parabola y=(x-b)^2+b+h has coordinates (2,5). What is the value of h?
Parabola Math Mathematics

11/12/18

Math homework help

A cannon ball is fired from the top of a tower. The height, h, in metres, is modelled by the function h(t)=-2t²+20t+8 and t will always be greater than or equal to 0. I need to find the height of... more

What is the new equation of the parabola a=1/2?

The parabola defined by the equation f(x)= x^2-6x+13 is shifted 5 units downward. If the new line of symmetry is at x=4,What is the new equation of the parabola a=1/2?

What's its equation?

A parabola has a minimum point at (-2,-5) and passing through (1,4). What's its equation?
Parabola Equation Vertex

09/30/18

Find the equation of the parabola

Find the equation of the parabola with a vertex of (5,-1), where a=1.

09/26/18

A cable suspended between two posts that are the same height and 10 meters apart has a sag of 1 meter. If the cable hangs in the form of a parabola, find its eq

A cable suspended between two posts that are the same height and 10 meters apart has a sag of 1 meter. If the cable hangs in the form of a parabola, find its equation

09/23/18

A cable of a suspension bridge

A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point on the cable on the... more
Parabola

06/21/18

Does the equation y=5x^2-x+1 of the parabola open upward or downward

Does the parabola open upward or downward?
Parabola

05/13/18

A parabola has directrix x=6, axis y=-5 and latus rectum equal to 9. Find its equation.

How to find the The focus on this
Parabola

03/05/18

Find the equation of the parabola that passes through the points (-2,24), (3,-1), and (-1,15)

i have been stuck on this question for a very long time and i need advice on how to solve it
Parabola

03/04/18

Finding a parabolic equation

How to find parabolic equation if 2 x-axis are +2 and +3 and y-intercept is +6 

02/10/18

Parabolic Arch Question

A parabolic arch supports a bridge. The arch is 200m wide at its base and 4m tall in the middle. How high is a point on the arch that is 20m horizontally from one end?
Parabola

01/07/18

Regarding parabola

A point p on a parabola y2 =4x, the foot from the perpendicular from it upon the directrix, and the focus of the parabola are the vertices of an equilateral triangle. If the area of the equilateral... more
Parabola

12/06/17

Find the focus ,vertex and directrix of (y+5)^2=-6x+12

how do I put this in y^2=4px form ?  John

11/21/17

Brooklyn has 24m of fencing. She wants to build a rectangualr enclosure for her dog with the maximum possible area.

Write a function to represent the rectangular area of the enclosure. How do you know that the function is quadratic?
Parabola Algebra 2

10/06/17

Does g(x)=2x^2 stretch vertically or horizontally?

I can't tell if 2x^2 would be identified as (2x)^2 or 2(x)^2. There's no parentheses in the original problem although I assume that if it was (2x)^2 it would be indicated, but I just want to make... more
Parabola

09/01/17

A window is a parabola with a horizontal base and the vertex at the uppermost point. The base width is 36 inches and the central height is 48 inches.

conic sections, a parabola specifically. it is yeah
Parabola

08/21/17

Given 2 points in a parabola, say (1,0) and (2,4) and axis the y-axis. How do you find the equation?

Given 2 points on a parabola A(1,0) and B(2,4) and having the y-axis as its axis. How do you find the equation?
Parabola

08/15/17

What is the width of the flashlight's opening?

a flashlight is shaped like a paraboloid and the light source is placed at the focus so that the light bounces off parallel to the axis of symmetry; this is done to maximize illumination. A... more
Parabola

05/09/17

Find the directrix and focus of parabola

A parabola is given by the equation y2 = -24x.find the directrix and focus of the parabola  

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