Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 652586: Hello! I am having a hard time understanding the way much of the online math resources are written. They all seem to be using a very mathematical sort of dialect (thus we can see... or to find x we need to complete a square, with no word on how one might accomplish this "completion of a square"), which in my opinion is counterproductive--the very people needing help with math are the very ones who won't understand the language! Anyways, that's a bit long-winded, so here's the problem:
"If a parabola opening to the left has a vertex at (-1, -3) and passes through point (-3,-2), what is the coefficient of the squared term in the parabola's equation?"
Thanks very much for reading this!
Click here to see answer by ewatrrr(24785)   |
Question 656908: I'm really stumped on these questions... My teachers gave me examples but I'm not sure how I can apply them into solving these:
Write the Equation of the ellipse that meet each set of conditions..
40. The foci are at (3,5) and (1,5) and the ellipse has eccentricity of 0.25
41. The ellipse has a vertical major axis of 20 units, its center is at (3,0) and e= 7/10 (eccentricity)
Click here to see answer by lwsshak3(11628) |
Question 658044: Find the equation of the ellipse with vertices (0, -1) and (12, -1) and minor axis of length 6
And:
What is the equation of the axis of symmetry of the parabola whose equation is 2(y - 2) = (x + 3)2?
x = -3
x = 3
x = 0
y = -2
y = 2
Click here to see answer by stanbon(75887) |
Question 658044: Find the equation of the ellipse with vertices (0, -1) and (12, -1) and minor axis of length 6
And:
What is the equation of the axis of symmetry of the parabola whose equation is 2(y - 2) = (x + 3)2?
x = -3
x = 3
x = 0
y = -2
y = 2
Click here to see answer by ewatrrr(24785) |
Question 659534: Hi!
For homework, I have to solve the equation a(x-h)²+k=0 or a(x-h)^2+k=0 , getting an expression for "x" in terms of the other variables in that equation.
In case this equation looks a little weird, it's the vertex form of a parabola.
I was really stuck on this..but thanks in advance for helping!
*also, please show your work!
Click here to see answer by lwsshak3(11628) |
Question 663432: My teacher put this problem and solution on the board and I need a laymans termed explaination of why he did certain things in the solution.
3x^2+4y^2-6x-24y+39=0
3(x^2-2x+1)+4(y^2-6y+1)=0-39+3+36
3(x-1)^2+4(y-3)^2=0
So, I get confused when my teacher added 1 inside both of the parenthesis...why did he do that? Where did he get the 1 from? Why not just leave the 1 out of both of the parenthesis? Please help!
Click here to see answer by Alan3354(69443)  |
Question 663432: My teacher put this problem and solution on the board and I need a laymans termed explaination of why he did certain things in the solution.
3x^2+4y^2-6x-24y+39=0
3(x^2-2x+1)+4(y^2-6y+1)=0-39+3+36
3(x-1)^2+4(y-3)^2=0
So, I get confused when my teacher added 1 inside both of the parenthesis...why did he do that? Where did he get the 1 from? Why not just leave the 1 out of both of the parenthesis? Please help!
Click here to see answer by solver91311(24713)  |
Question 663895: From the top of a building, a projectile is shot 400 feet high with a velocity of 64 feet per second. Its height h after t seconds is given by h(t)= -16t squared +64t+400.
What is the maximum height of the projectile?
When does the projectile hit the ground?
Click here to see answer by ewatrrr(24785) |
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