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

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Question 144376: Hi, I know how to find the vertex I think, but I am not sure how to find the rest of the points to graph the equation. Can someone please help give some details about how to graph this equation. I think the vertex is (-2,-8). Thanks.
f(x)= x^2+4x+4.
Thanks for your help.
Click here to see answer by nabla(475)

Question 144379: I have no idea how to do this question.
A projectile so shot from a platform 100 feet above the ground with an intial velocity of 39 feet per second. It's height above the ground in t seconds is given by the quadratic polynomial: h=-16t+39t+100
Graph the projectiles height from t=0 until it hits the ground, indicate the maximum height reached and the number of seconds passed until it strikes the ground on the graph.
The graph is just and L shape.Y axis = height and the x axis = t in seconds.
Any help would be great.
Click here to see answer by ankor@dixie-net.com(15639)

Question 144377: I am tring to do the final worksheet of the term and I just don't understand it well enough to take the final. If anyone can help me with these equations I would really appreciate it. I have to find the vertex and intercepts and graph the equation.
f(x)= -2x^2-5x+3
Thanks again.
Click here to see answer by nabla(475)

Question 144524: Name the axis to which the major axis is parallel and find the center of
9(x + 1)^2 + 27(y - 1)^2 = 81
Click here to see answer by stanbon(57250)

Question 144632: The vertex of a parabola is at the point (3, 2.5) and the point (4, 5.5) is on the parabola. What is the equation of the parabola?
... i know that the formula for parabola that is up or down is
y=a(x-h)exponent 2+v ... what im having truble finding is (a).
Click here to see answer by nabla(475)

Question 144635: This circle is centered at the origin, and the length of its radius is 8. What is the equation of the circle?
i know the equation is x(exponent)2+y (exponent)2= r (exponent)2
r stands for radius but i dont know if i have to do 8X8 ... or just leave it like that when solving the equation
Click here to see answer by checkley77(12569)

Question 144766: The vertex of parabola is at the point (-1, -3). how do i get the equation of the parabola?
Click here to see answer by stanbon(57250)

Question 144888: What is the shape of the graph of the equation below?
((x-1)^2)/(3^2) + ((y+1)^2)/(2^2) = 1

A line
A parabola opening to the right
A hyperbola opening up and down
A circle
A hyperbola opening to the right and left
An ellipse
my first awnser was that it was a hyperbola opening to the right and left ... but it came out wrong. so i have no idea what it is!
Click here to see answer by stanbon(57250)

Question 144892: This circle is centered at the origin, and the length of its radius is 3/4. What is the equation of the circle.
my response was x^2+y^2=3/4
but it came out as wrong... the other options are ...
x^2/3 + y^2/4=1
or
(x-3)^2+(y-4)^2=25
0r
x^2+y^2=(3/4)^2

Click here to see answer by Alan3354(30983)

Question 144898: This circle is centered at the origin, and the length of its radius is 4. What is the equation of the circle
my response was x^2+y^2=4 but it came out wrong
the other options were
x^2/4 + y^2/4 = 1
or
x^2 + y^2 = 4^2
or
(x-4)^2 + (y-4)^2 = 16
Click here to see answer by stanbon(57250)

Question 144902: The equation below is a circle. What is the y-coordinate of the center of the circle?
(x - 6)2 + (y + 5)2 = 152
my initial awnser was 5 but i got it wrong!
Click here to see answer by Alan3354(30983)

Question 144903: The equation below is a circle. What is the y-coordinate of the center of the circle?
(x - 6)^2 + (y + 5)^2 = 15^2
my initial awnser was 5 but i was wrong
Click here to see answer by stanbon(57250)

Question 144894: This circle is centered at the origin, and the length of its radius is 3/4. What is the equation of the circle.
my response was x^2+y^2=3/4
but it came out as wrong... the other options are ...
x^2/3 + y^2/4=1
or
(x-3)^2+(y-4)^2=25
0r
x^2+y^2=(3/4)^2
Click here to see answer by stanbon(57250)

Question 144906: The graph of the equation below is an ellipse. How long is the major axis of the ellipse given by the equation?
(x+7)^2/5^2 + (y-4)^2/8^2 = 1
i had puy 8 but it came out wrong
Click here to see answer by stanbon(57250)

Question 144921: The graph of the equation below is an ellipse. What is the y-coordinate of the center of that ellipse?
(x+3)^2/5^2+(y+9)^2/8^2=1
i had gotten 9 but it was wrong
Click here to see answer by scott8148(6628)

Question 144993: What is the x-coordinate of the center of the ellipse with the following equation?
(y+6)^2/18+(x-5)^2/4=5

Click here to see answer by jim_thompson5910(28504)

Question 144993: What is the x-coordinate of the center of the ellipse with the following equation?
(y+6)^2/18+(x-5)^2/4=5

Click here to see answer by stanbon(57250)

Question 144994: The vertex of the parabola below is at the point (1, 3) and the point (2, 6) is on the parabola. What is the equation of the parabola?
i had gotten y = 6(x - 1)^2 + 3 but it came out wrong.
these are the other options
A. y = 3(x + 1)^2 - 3
C. y = 3(x - 1)^2 + 3
D. x = 2(y - 3)^2 + 1

Click here to see answer by jim_thompson5910(28504)

Question 144996: The vertex of the parabola below is at the point (0, 3). Which of the following could be this parabola's equation?
A. y = 3x^2 - 3
B. y = (x + 3)^2
C. y = (x - 3)^2 - 3
D. y = x^2 + 3

Click here to see answer by stanbon(57250)

Question 144907: The graph of the equation below is an ellipse. What is the y-coordinate of the center of that ellipse?
(x+3)^2/5^2 + (y+9)^2/8^2 = 1
my awnser was 9 but i came out wrong
Click here to see answer by vleith(2825)

Question 144997: In which direction does the hyperbola given by the equation below open? Check all that apply.
(y+7)^2/3^2 - (x-4)^2/7^2=1
i had originally put down but it came out wrong.
these are the possible awnsers...
A. Down
B. Up
C. Right
D. Left

Click here to see answer by stanbon(57250)

Question 144998: What is the y-coordinate of the vertex of a parabola with the following equation?
y = x^2 - 6x + 14
Click here to see answer by vleith(2825)

Question 145007: If the equation of a parabola is y = 8(x - 3)^2 + h, and its vertex is (3, -3), what is the value of h in the equation?
Click here to see answer by shahid(44)

Question 145040:
I need this equation in y form pleas and thank u and please show all the steps of how to get y by itself.
Click here to see answer by Edwin McCravy(8882)

Question 145168: Find the eccentricity of the ellipse given by

I have tried:

that reduces to:

What do I do next? Please explain if you can! Thanks so very much!
Click here to see answer by Edwin McCravy(8882)

Question 145218: What is the midpoint of the segment joining (3, 5) and (-6, 11)?

Click here to see answer by jim_thompson5910(28504)

Question 145220: What is the distance between the points (-2 square root of 7, 10) and (4 squareroot of 7, 8)?
Click here to see answer by jim_thompson5910(28504)

Question 145224: What is the vertex of the parabola with the equation (y-1)^2 = 4x?

Click here to see answer by stanbon(57250)

Question 145167: Find the vertex and focus of the parabola given by
x^2 = -1/8y
This is what I tried:
4p = -1/8
then divide by 4 so
p = - 1/32
vertex = (0,0,)
focus = (0, -1/32)
Please let me know if I did this right, thanks!
Click here to see answer by stanbon(57250)

Question 145226: What is the directrix of the parabola with the equation y+3= 1/10 (x+2)^2?
Click here to see answer by Edwin McCravy(8882)

Question 145225: What is the focus of the parabola with the equation (x - 1)^2 + 32= 8y?

Click here to see answer by solver91311(16870)

Question 145166: Find the vertex, focus, and directrix of the parabola given by
x^2-10x-8y+33=0
I think:
x^2-10x=8y-33
but I'm not sure what to do from there.
Please explain the steps to me if you can, thanks for your help!

Click here to see answer by solver91311(16870)

Question 145137: Find the equation of an ellipse with its center at (1,2), focus at (6, 2) and containing the point (4,6).
I have so far (x-1)^2 + (y-2)^2 = 1, but I cannot figure out what my a^2 and b^2 should be for my denominators. Please help.
Click here to see answer by Edwin McCravy(8882)

Question 145753: how do I solve: c^3+c^2-7c-3=0, given root -3?
Click here to see answer by nabla(475)

Question 145754: how do I solve: y^4-3y^3-2y^2+10y-12=0, given root 1+i
Click here to see answer by nabla(475)

Question 145751: Help I am trying to fully understand how to find the real solutions of the system. I have no problem solving a problem like : x^2+2y^2=12 and 3x^2-y^2=8 but when the problem looks like this: xy+6=0 and x-y=-5 I cant figure out where to start. Your help would do a lot for me thanks.
Click here to see answer by oscargut(891)

Question 146646: A circle has a chord of length 8 that is tangent to a smaller, concentric circle.Find the area between the two circles:
a) 16 (note each of the answers listed have a pie sign next to them.)
b) 9
c) 24
d) 36
e) none

Again THANK YOU !!!!
Click here to see answer by jim_thompson5910(28504)

Question 146643: hello && greetings please help !!
Which conic section is represented by the equation ????
A. ELLIPSE
B. 2 LINES
C. HYPERBOLA
D. 1 LINE
E. NONE OF THESE
Click here to see answer by Edwin McCravy(8882)

Question 146967: What type of conic section is the following equation?
4x2 + 4(y2 - 4) = 0

Click here to see answer by Fombitz(13828)

Question 146963: how would i do this? What type of conic section is the following equation?
16x2 - 300 - 25y2 = 100

Click here to see answer by scott8148(6628)

Question 146962: how would i do this? What type of conic section is the following equation?
9x2 + 4y2 - 36 = 0

Click here to see answer by scott8148(6628)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860