Graphing, finding distance, finding midpoints, etc.

[NDelorme07]

help, rusty on trig:

1) Graph the following parabolic equation on the coordinate plane. Label the axes, the vertex and the graph.
y=-x^2-2x+5

2) find the distance between the given points. where appropriate, give an approximation to three decimal places.
(-4,7) and (3,-2)

3) find the distance between the given points. where appropriate, give an approximation to three decimal places.
(-2,-2) and (2,2)

4) find the midpoint of the segment between the pair of given points. express your answer in coordinate form using parenthes.
(2,3) and (8,1)

5) find the midpoint of the segment between the pair of given points. express your answer in coordinate form using parenthes.
(5,2) and (3,12)

6) A circle whose equation is (x-h)^2+(y-k)^2=r^2 has a center whose coordinates _?_ and whose radius is _?_

7) A circle whose equation is (x-5)^2+(y-4)^2=49 has a center whose coordinates are _?_ and whose radius is _?_ where appropriate, give an approximation to two decimal places.

8) to show that the following equation is a circle, find the coordinates of the center and the value of r^2. the center is _?_ and r^2= _?_.
x^2+8x+y^2-6y+20=0

9) to show that the following equation is a circle, find the coordinates of the center and the value of r^2. the center is _?_ and r^2= _?_
x^2-2x+y^2+4y-4=0

 

[Denis]

We don't do homework here; we did that when we were in school :wink:

 

[stapel]

help, rusty on trig

Actually, none of this is trigonometry; you're rusty on the algebra that came before the trig you have forgotten. :wink:

The best solution would be for you to reconsider your enrollment, and perhaps drop back a few classes to where you ought to be in order to learn the forgotten and/or missing material. If, on the other hand, you would like to try self-study, you will need to set aside a few hours a day for the next couple of weeks. You might also want to consider hiring a tutor, as the face-to-face sessions would probably go faster than trying to do this all on your own. :idea:

Obviously, we cannot provide the hours (weeks?) of needed lessons within this environment. If you'd like to try to learn just these topics (assuming you have all the prerequisite background knowledge), then please try some of the many lessons available online:

. . . . .Google results for "graphing quadratics"

. . . . .Google results for "distance formula"

. . . . .Google results for "midpoint formula"

. . . . .Google results for "circle equation"

. . . . .Google results for "completing square circle"

Good luck!

Eliz.