Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 546364: for x - 4 = ( y + 5 ) ^2
would (4,-5) be the vertex?
and what is the focus and directrix?
also, what is the focus and directrix of -3( y +3)^2 = - (x+4) and -3 (x+2)^2 = - (y+6)
I was confused because I wasn't sure what the point was so I couldn't figure out the focus and directrix.
Click here to see answer by lwsshak3(6460)

Question 545235: which equation gives the directrix of y-1/12x^2-5?
y=-8
y=3
x=3
y=-5
please need help for math class.
Click here to see answer by lwsshak3(6460)

Question 545587: put in standard form and graph x^2-2x+y+7
find the focus and directrix
Click here to see answer by lwsshak3(6460)

Question 548519: A 20-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 4 ft longer than the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.
Click here to see answer by stanbon(57214)

Question 548633: The question is write an equation for the perpendicular bisector of the line segment joining the two points? the points are(-2, 2) and (5, 4)
Click here to see answer by mananth(12270)

Question 548555: find the focus of a parabola represented by the equation f(x)=x(squared)-8x+12 with the vertex at (4,-4).
Click here to see answer by lwsshak3(6460)

Question 549083: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-12x + 27y = 60
-6x – 6y = 30

Click here to see answer by solver91311(16868)

Question 549084: Multiply
-5x + 4
by
4x^2 + x

Click here to see answer by rfer(12644)

Question 549061: Solve by factoring: 4m2 + 7m = 0
Click here to see answer by rfer(12644)

Question 549218: I am trying to draw the graph of sqrt2, sqrt4, and sqrt5(all on the same graph). How do i plug it in my HP calculator or an online version and what does the graph look like.
Click here to see answer by Earlsdon(6287)

Question 549182: How do you write this in standard form? -2y^2+x-20y-49=0
Click here to see answer by KMST(1863)

Question 549272: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-12x + 27y = 60
-6x – 6y = 30

Click here to see answer by mananth(12270)

Question 549299: Find the equation for the right bisector of the line segment joining the points A(1,0) and B(2,3).
Click here to see answer by stanbon(57214)

Question 548497: Find the distance betweeen the points of intersection of the curves 3x - 2y + 6 = 0 and x^2 + y^2 = 9.
Click here to see answer by lwsshak3(6460)

Question 549417: For the following equation, give the x-intercepts and the coordinates of the vertex.
y=x^2-6x-1
The chart needs to be filled out like this:
x-intercept (x,y)= (_____, _____) (smaller x-value)
x-intercept (x,y)= (_____, _____) (larger x-value)
vertex (x,y)= (_____, _____)
I cannot figure out how to fill out this chart please help me
Click here to see answer by scott8148(6628)

Question 549445: hi! what is the vertices of the ellipse equation: (x-2)^2+((y+1)^2)/9=1
Click here to see answer by lwsshak3(6460)

Question 549577: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x) = -x2 - 2x - 6
Click here to see answer by josmiceli(9647)

Question 549479: Determine wether has a minimum or maximum valus and state it for f(x)=6xsquared
then state the domain and range
Click here to see answer by Alan3354(30955)

Question 550077: Please provide me with a couple of formulas to rearange:
P= (sqrt of (perihelion / (1-e))cubed)) so that I can determine
a: eccentricity
b: perihelion
I thought that I'd found out how to rearange it for perihelion, but when various values were plugged in, the results were incorrect. I'm sure that all that I missed was an operation overlooked.
Click here to see answer by Alan3354(30955)

Question 550078: Question 550077: Please provide me with a couple of formulas to rearange:
P= (sqrt of (perihelion / (1-e))cubed)) so that I can determine
a: eccentricity
b: perihelion
I thought that I'd found out how to rearange it for perihelion, but when various values were plugged in, the results were incorrect. I'm sure that all that I missed was an operation overlooked.
The [ P ]value is "period"
Click here to see answer by stanbon(57214)

Question 550062: Determine the equation of the parabola with a directrix of x + y - 6 = 0 and a focus at (0, 0)

Click here to see answer by Edwin McCravy(8879)

Question 550205: Question 1
The foci are at (+-2,0)and the ellipse passes through (2,-3)
Question 2
The ellipse passes through points (6,4) and (-8,3)
Question 3
Find the equation of the circle which has its centre at point (2,3) and passes through the origin
Question 4
The centre of a circle lies on line y=2x-2, and this circle cuts the x-axis at points (1,0)and (3,0). Find the equation of the circle.

For question 3
This is what I've done:
(h,k)=(2,3)
(x-2)^2+(y-3)^2=r^2
(0-2)^2+(0-3)^2=r^2
4+9+r^2
r^2=13
R=√13
Please provide for me the full working as it is easy for me to understand, Thanks
Click here to see answer by Alan3354(30955)

Question 549080: Subtract.
(5x^6 + 9x^4 – 2x^3 – 3) – (8x^6 – 8x^5 + x^4 – 4)

Click here to see answer by asuar010(324)

Question 550955: identify the vertex of the graph of the function y=(x+3) square root-2.
Click here to see answer by jim_thompson5910(28476)

Question 550955: identify the vertex of the graph of the function y=(x+3) square root-2.
Click here to see answer by stanbon(57214)

Question 551180: How do i Write the equation of a circle with endpoints of the diameter at
(4, -3) and (-2, 5).

Click here to see answer by jim_thompson5910(28476)

Question 551180: How do i Write the equation of a circle with endpoints of the diameter at
(4, -3) and (-2, 5).

Click here to see answer by nyc_function(2733)

Question 551341: what is the solution of the following system of equations:
x^2-y=4
4x^2+y^2=12
Click here to see answer by Alan3354(30955)

Question 552062: Please help me solve,
What is an equation for the hyperbola with vertices (3,0) and (-3,0) and asymptote y=4/3x?
Click here to see answer by Theo(3458)

Question 552378: Can you please show me the graph of 9x^2+4y^2-54x+16y+61=0 and the coordinates of the center and foci please!
Click here to see answer by AnlytcPhil(1276)

Question 552371: What is the axis of symmetry of y=7(x+1)(x-3) I have tried another website and it stated something about h=x, and h would be the 1 in the first set of parenthesis, correct? Or is there some other method that is more accurate? Thank you.
Click here to see answer by Theo(3458)

Question 552874: Please help me solve this graphing quad.
y=-1/2x2-4x-12
Y + negitive half x squared minus 4x minus 12
Click here to see answer by lwsshak3(6460)

Question 552873: Please help me solve this graphing quad.
y=x2+4x+8
Click here to see answer by lwsshak3(6460)

Question 552799: Graph the equation. Identify the vertices, co vertices, and foci of the ellipse.
{[(x^2)/16]+[(y^2)/4]}=1
Click here to see answer by lwsshak3(6460)

Question 552788: name the vertex, axis of symmetry, focus, directrix, and direction of opening of the parabola whose equation is given. then find the length of the latus rectum and draw the graph.
the equation is: y = -8x
Click here to see answer by lwsshak3(6460)

Question 552790: the focus of a parabola is (4, -3) and the directrix is y=6
write the equation of the parabola and then draw the graph.
Click here to see answer by lwsshak3(6460)

Question 553002: which equation does not represent a line of symmetry for the circle with the equation x^2+y^2=100
a.x=0
b.y=.5x
c.y=x+1
d.y=x
Click here to see answer by Alan3354(30955)

Question 553058: Write this equation in standard form: x squared minus 17 equals 8y plus 39
Click here to see answer by jim_thompson5910(28476)

Question 553079: Use a graphing calculator, graph the pair of functions y=square root 49-(x-2)^2 and - square root -(x-2)^2
a. identify the conic section represented by the graph
b. write its equation in standard
And the multiple choice is
a. circle;(x+2)^2+y^2=49
b. circle;(x-2)^2+y^2=49
c. ellipse;(x-2)^2/(4)+(y^2)/(49)=1
d. ellipse;(x-2)^2(49)+(y^2)/(4)=1
Click here to see answer by stanbon(57214)

Question 553179: Write a equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.
12. 6x squared + 6y squared = 162
Click here to see answer by solver91311(16868)

Question 553157: write the following equations in standard form:
1.4x^2+4y^2+8x-24y=60
2.4x^2-6y^2+8x-24y=68
Click here to see answer by lwsshak3(6460)

Question 552369: Can you please show me the graph of 3x^2-2y^2+12x+4y+4=0 and the coordinates of the center and foci please!
Click here to see answer by lwsshak3(6460)

Question 552780: the focus and directrix of a parabola are given. the focua is (3,5) and the directrix is y=1 . write the equation of the parabola and then draw the graph.
Click here to see answer by lwsshak3(6460)

Question 552477: the arch of an underpass is a semi ellpise 20 m wide and 5 m high. find the clearance at the edge of a plane ,if the edge is 5m from the middle.sketch the graph. tnx
Click here to see answer by lwsshak3(6460)

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