Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 25750: Hello,
My name is Michael. I usually do well in Algebra 2, but recently failed my vertex-form and quadratic equations test.
Question: If given a graph, with a vertex of (-3,4) and points (-4,3) and (-5,0).. how do I write this in standard form?
Click here to see answer by venugopalramana(3286)  |
Question 26950: Thank you for your help! I have now come upon another type of equation on this worksheet that I don't understand. example: 25x^2-15xy+2y^2 I am not sure how to factor using trail and error on this one because of all the variables.
Click here to see answer by elima(1433) |
Question 27151: The path of a platform diver can be described by the equation y=-2x^2+15x+6, where x is the horizontal distance in meters of the diver from the edge of the platform and y is the height of the diver in meters above the surface of the water.In horizontal distance, about how far in front of the platform will the diver enter the water?
I cant seem to break this down and get an answer?
Thanks SOOOOO Much for any help!
Click here to see answer by bmauger(101) |
Question 27170: I was givin the following question.
The quadratic equation  has no real roots for x.
1) Write down the discriminant of  in terms of k.
2) Hence find the set of values that k can take.
If somebody could help me. Thanks
Click here to see answer by josmiceli(19441)  |
Question 27320: Help..I can't figure out how to do this problem: the square of 2y+7, plus 4 = y. I keep trying to isolate y, but because it is on both sides of the equal sign, I can't figure out how to do it and my book doesn't explain it well at all. I simplified it by doing the square of 2y plus the square of 7 = y-4, but then I'm not putting the y on the left. Can someone help straighten me out on this?
Click here to see answer by bmauger(101) |
Question 27379: I have a test tomorrow and i need to understand how to work complicated word problems on Quadratic functions. Here it is... Scouts used a slingshot to launch a small rock upward from a cliff 250 feet above a river. The initial velocity was 320 feet per second. The formula h=250+320t-16t^2 gives the height in feet h of the rock relative to the river after t seconds. A) What is the maximum height reached by the rock? B) After how many seconds did the rock reach its maximum height? C) After how many seconds did the rock strike the river?
Click here to see answer by stanbon(75887) |
Question 27483: When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )· Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation. · What are examples of quadratic equations or applications with imaginary numbers?
Click here to see answer by longjonsilver(2297)  |
Question 27599: Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be?
Click here to see answer by mbarugel(146) |
Question 27655: A rectangular picture is 13 by 15 inches. A frame of the same width all the way around has an area of 93 square inches. What is the width of the frame.
I tried but I was getting nowhere I asked my dad but he couldn't help either. Can you?
Click here to see answer by bmauger(101) |
Question 27649: The path of a platform diver can be described by the equation y=-2x^2+15x+6, where x is the horizontal distance in meters of the diver from the edge of the platform and y is the height of the diver in meters above the surface of the water. In horizontal distance, about how far in front of the platform will the diver enter the water?
A)2 meters
B) 3 meters
C) 8 meters
D) 15 meters
Can you tell me how to figure this out? I do appreciate it!!!!!
Click here to see answer by longjonsilver(2297) |
Question 27213: Okay this is a really long problem that my math teacher gave me :-( and i'm stuck.
The problem is: 2x^6+3x^5+8x^4+15-2+12x-8=0
1) How many solutions are there and why?
*There are 6 because thats the highest degree.
2) How many real and imaginary answers are there?
* I think there are 3, 1, or 0 real positive and 3,1, or 0 real negative numbers... and i have no idea how many imaginary...
3) Solve for all 6 answers (and show wokr):
* I punched it into my calculator and figured out the first two answers (x-(1/2)) and (x+2)then i used each with synthetic division with the problem and broke it down to:
2x^4+10+8
Then I took out a 2
2(x^4+5+4)
Then i broke it down:
2(x^2+4)(x^2+1)
So thats what I have so far, (x-(1/2)) and (x+2) i only need 4 more but i have no idea where to go from here. Any help would be great! Thanks!
Click here to see answer by venugopalramana(3286) |
Question 27724: Can someone help?
Thanks
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
•Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.
Click here to see answer by stanbon(75887) |
Question 28002: Of the 6 courses offered by the music department at her college, Kay must choose exactly 2 of them. How many different combinations of 2 courses are possible for Kay if there are no restrictions on which 2 courses she can choose?
Click here to see answer by venugopalramana(3286) |
Question 28000: Using the quadratic equation x2-3x+2=0 perform the following tasks:
solve by factoring.
solve by completing the square. Since it is x square, should i devide both sides by x?
solve by using the quadratic equasion.
I don't necesarily want it answered, I just need to know how to do these equations.
Click here to see answer by sdmmadam@yahoo.com(530) |
Question 28119: Im falling behind in Algebra due to illness. If I could see a problem done for me I could use it as a referance. Any help would be GREATLY appriciated!
Can you please solve the equation  by using the "square root method"? Thank you for your time!!!
Click here to see answer by Earlsdon(6294) |
Question 28141: Placing a photograph behind a 12-inch by 12 inch piece of matting. The photograph is to be positioned so that the matting is twice as wide at the top and bottom as it is at the sides. If the area of the photograph is to be 54 square inches, what are the dimensions? I do not understand how to set this up into a quadratic equation.
Click here to see answer by longjonsilver(2297) |
Question 28313: The general equation os a quadratic polynomial is p(x)=ax(squared)+bx+c with a,b,c all real numbers and a doesn't = 0. In this problem we show that three points in the plane uniquely determine a quad polynomial, )just as two points in aplane uniquely determine a line).
Step 1. Suppose that we were given the three point (-1,1),(1,5), and (2,10). We want to find the quad poly P(x) which passes through these points. So, evaluate p at each x value. For example, since p(-1)must be 1 (why?), we get
p(-1)=a(-1) squared+b(-1)+c=1 (arrow) a-b+c=1.
Evaluating p(1) and p(2), we get two more equations. What are they?
p(1)=
p(2)=
Step 2: We now have _________________ linear equations in the _______________ unknowns___,__________, and _______. Thus, we can try to solve for _,_____, and ____. Once we have values for ___,______, and __, our polynomials will be determined.
Step 3: set up the augmented coefficient matrix. We can start with
M= [1 -1 1 1]
[? ? ? ?]
[? ? ? 10].
There are 6 values missing. Where do they come from? What are they? What variable does the first column represent? The second? The third?
Step 4:
Using elementary row operations, we transform M into the matrix M' that looks like
M'= [1 0 0 1]
[0 1 0 2]
[0 0 1 2].
I need to be able to explicity show the computations -- i.e the row of operations - leading from M tp M'.
From this it follows that a=____, b____, and c=___. Thus our polynomial p(x) is p(x)=?
Step 5:
Check the answer by evaluating p(x) with the a, b and c values determined in step 4. We should have p(-1)=1, p(1)=5, and p(2)=10.
Click here to see answer by longjonsilver(2297) |
Question 28519: IF the equation of the parabola is written y=ax2+bx+c, then a must be..
The parabola on this graph is an upside down bowl with its vertex being at 2 on the y axis...
1. zero
2. positive
3. negative
4. none of the above
Click here to see answer by AnlytcPhil(1806)  |
Question 28541: To Whom it may Concern,
My name is Stephanie A. Thoma and i have been trying to solve the
following equation.
(2x-1) = 1/2
I have tried squaring both sides, as well as the quadriatic equation formula with no success
Click here to see answer by askmemath(368) |
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