|
Tutors Answer Your Questions about Coordinate-system (FREE)
Question 89399: Please help.
Suppose you wanted to design a parabolic arch (a parabola opening downward) as a trellis in your garden. This would mean that the first term of the quadratic equation, the term with the variable raised to the second power, would have to be negative. An engineering friend suggests that the following quadratic function might be aesthetically pleasing.
h(x) = -5x2/64 + 4
This function gives the height of the arch (in feet) at any horizontal distance x (in feet) from the centerline of the arch. The trellis (parabola) could be supported by vertical posts at intervals across the inside of the arch. These posts could be placed at 1, 2, 3, 4, 5, 6, and 7 feet on both sides of the centerline (the axis of the parabola). Therefore, for any distance (x-value) the height of a post supporting the arch at that point could be determined from the above function.
1. When drawing the graph of this parabola, where is its axis located in the coordinate plane?
2. Where would the arch touch the ground? (i.e. How far from the axis of the parabola?)
Click here to see answer by scott8148(3385)   |
Question 89669: I am no good at this graphing and coordinates. Please help me.
Find the coordinates of the points that divide the line segment joining (4,5) and (10,14) into three equal parts.
If at all possible, I need this ASAP
Thank you so much for your time.
Click here to see answer by scott8148(3385) |
Question 89671: Write the equation of the circle that has a diameter whose endpoints are (3,-5) and (-7,3). Write the equation in General Form which is: x2+y2+Dx+Ey+F=0
The "2's" are exponents. I am stumped on this last bit of work I need to know. Can you please help me?
Thanks!
Click here to see answer by scott8148(3385) |
Question 91003: On the graph for: y =2x^2-5x+3/x^2-x-2 , what happens as x approaches negative infinity?
A. y goes to infinity
B. y goes to negative infinity
C. y approaches 2 (gets closer and closer but never reaches it)
D. y approaches -1 (gets closer and closer but never reaches it)
Click here to see answer by stanbon(26297)  |
Question 91772: Hello out there,I need some help with some really hard problems,the first one is,Find the axis of symmetry for y=x^-2.The next one is,Find the vertex for y=x^-2.The third one is,Describe how the graph of y=x^2-1 changes from the parent graph of y=x^2.And the last one is,Describe how the graph of y=(xnegative6)+5 changes from the parent graph of y=x^2.Thanks to whoever can help.
Click here to see answer by mathispowerful(115) |
Question 92205: In a Cartesian coordinate system, the slope-intercept form of a straight line is y = mx + b wherein m = slope and b = y-intercept. I am attempting to determine the equation of a line when the only information available are the coordinates of two points on the line. I have no difficulty in determining the slope (m) of the line, but try as I might I cannot determine the y-intercept. (Yes, I can draw the graph and estimate the y-intercept, but I cannot determine it algebraically. I have substituted 0 for x and plotted some sample results, but what I'm getting is inconsistent and clearly incorrect.
Can you help?
Thanks so much, John Kennedy-Grisham
Click here to see answer by scott8148(3385) |
Question 92308: Consider the following graph of y = f(x).
If h(x) = f(x) + 2, what would the new coordinates of P be after the shift? Give answer in (x, y) form.
P is located now at x = 1 and y = -1
I'm getting confused with the curve. Everything needs to shift up by 2 but I can't seem to visualize the coordinates.
x = 2
y = -1??
Click here to see answer by Nate(3495) |
Question 93126This question is from textbook
: how do i find the slopes of the lines that pass through the following pairs of points?
a) (1,2)(3,5)
given that slope of the line and point of the line how do i find the equation for each line?
a) a line of slope 4 passing through the point (0,2)
thank you for any help you may have on this
This question is from textbook
Click here to see answer by stanbon(26297) |
Question 94696: A coordinate grid is placed over a map of Pineville. The police department is located at (-12,7) and the fire department is located at (-6,6). What are the coordinates of the town hall, which is located halfway between the police and fire deparments?
Click here to see answer by stanbon(26297) |
|
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
|
| |
