178 Answered Questions for the topic parabola

Parabola

07/21/15

#### Given that a parabolas vertex is at the point (4,-3) and p=5, what are all of the possible equations of the parabola?

Vertex (4,-3)
p=5
possible equations

Parabola Parabola Equation

06/23/15

#### What is the equation of a parabola with the focus located at (2,5) and the directrix y=1

What is the equation of a parabola with the focus located at (2,5) and the directrix y=1

Parabola

04/29/15

#### Parabola, determine the signs of the coefficients

Consider the parabola y=ax2+bx+c. Determine the signs of the coefficients a and c if it is known that the vertex of the parabola has a negative y-coordinate, and the parabola never intersects the...
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04/21/15

#### Given a parabola with a vertex of (6,-18) write the equation of the parabola if you know that it passes through the origin (0,0).

Vertex form = f(x)=a(x-h)^2+k
Vertex = (6,-18)
Point = (0,0)
How do you find the quadratic equation step-by-step using vertex form?

Parabola

04/20/15

#### Find the equation of a parabola with given vertex and focus.

vertex (-4,-2) and focus (-8,-2)

Parabola

03/22/15

#### how high are the poles,in feet?

A cord that is fastened to the top of two poles can be modeled by 1/300x2 -x+550, where x and y are measured in feet. The cord touches the ground midway between the poles. How high are the poles,...
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Parabola

03/14/15

#### Write the standard form of the equation of the parabola with the given focus of (2,0) and vertex of (0,0)

Original question: "Write the standard form of the equation of the parabola with the given focus and vertex at (0,0).
1.) (2,0)
2.) (0,1)
3.) (-1,0)
4.) (0,1/2)
5.) (3,0)
6.) (o,-6)

03/05/15

#### completing the square parabola

a science museum is putting up a restaurant along one wall of the museum. Restaurant space will be rectangular. Assume the museum wants to maximize the area for the restaurant. there is 120 feet of...
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03/01/15

#### Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -3x2 + 5x + 8.

This one has been stumping me for hours, any help would be great, thanks for your time!

#### Whats the value of 'a' and 'k'?

How do you find a function's 'a' and 'k'? Like what are the steps?
Lets say you have a point from the parent function (2,2) and a point on the same x-value on the other function which is (3,2),...
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Parabola Graph

02/19/15

#### The graph of y = x2 is shown below. Using complete sentences, explain how the graph

The graph of y = x2 is shown below. Using complete sentences, explain how the graph of y = -2(x + 3)2 + 1 would differ from this parabola?
The graph shows a parabola opening up with a vertex at...
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Parabola

01/02/15

#### An object is thrown, and it follows a parabolic path. Its height, in meters, is given by the function f(x) = -x^2 + 3x + 6 . Find the maximum height that the

Provide the answer with steps please

11/23/14

#### Graph the equation

Graph y=-3/4x2 +6x+6 by doing the following.
a) find the axis of symmetry
b) find the vertex
c)find the Y intercept and it's reflection point
d)evaluate the function for another value of X

#### Write the equation of the parabola

Write the equation of the parabola in vertex form given the vertex: (1/4, -3/2) and point (1,3)

11/09/14

#### Lines, Parabola, and Systems

Find two numbers whose sum is 78 and whose product is a maximum

#### what are the y-coordinates of the solutions of equations 5x-y=3 and 2x^2+y=0?

a math question from my math homework

#### Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -3x2 + 7x + 2.

i need to find the vertex of the parabola and i am having trouble finding the answer the options are
a)-3/7
b)2
c)7/6
d)-7/3

Parabola

08/27/14

#### can a parabolic curve be offsetted and yet remain a parabola?

Hello,Suppose we make a co-ordinate system with y and x axes.locate a point 5 units above the vertex which is at the ORIGIN.this point is the focus.now, we make a dashed line 5 units below parallel...
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06/21/14

#### What are the dimensions of such a rectangle with the greatest possible area?

A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y=9-x2.What are the dimensions of such a rectangle with the greatest possible...
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#### Find the equations to both line

Find the equations to both lines through the point (2,1) that are tangent to the parabola y=x2+x+4
y= (smaller slope)
y=(larger slope)

Parabola Tangent

05/29/14

#### Find the equations to both lines through the point (2,1) that are tangent to the parabola

Find the equations to both lines through the point (2,1) that are tangent to the parabola
y=x2+x+4

Parabola Algebra

05/03/14

#### I need help with this equation

Given the equation -5 (x - 2)' -1= ,a. Identify the vertex.b. Identify the axis of the symmetry.c. Identify the direction of the graph (whether it opens up or down).

#### Whats up with spacing of x^2, 0.5x^2, and 2x^2!?

So, I was playing with an online graphing calculator and I plugged in 0.5x2 x2 and 2x2 and when I went up to higher numbers, such as x=10, I noticed they were unevenly spaced. This puzzles me...
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