Algebra
posted by Anonymous .
write the equation in standard form and then graph the equation.
y=2x^28x+11

You will have to use "completing the square".
y = 2x^28x+11
= 2(x^2  4x+ .... ) + 11 < took out the coefficient of the square term from the first two terms
= 2(x^2  4x + 4  4) < took half of the coefficient of the x term, then squared it, added it and immediately subtracted it again, the net result was adding zero.
= 2( (x2)^2  4) + 11 < formed the perfect square plus the left over constant
= 2(x2)^2  8 + 11 < dististributed the 2 over the perfect square and the leftover constant
= 2(x2)^2 + 3 < added the stuff at the end
all done, now I can read the vertex
which is .......
and if I let x = 0 in the original (or this last) equation, I get
y = 11
So plot the vertex, plot the yintercept and form a neat parabola from the vertex to hit (0,11). Complete the other half of the parabola.
It should look like this:
http://www.wolframalpha.com/input/?i=plot+y+%3D+2x%5E28x%2B11,+y+%3D+2(x2)%5E2+%2B+3
notice I graphed both forms of the equation and the graphs coincide. This was a neat way to check my work.
Respond to this Question
Similar Questions

math/Check!
a. An ellipse is formed by stretching the graph of x^2+ y^2=1 horizontally by a factor of 3 and vertically by a factor of 4. Determine the equation of the ellipse in standard form x^2/a^2+y^2/b^2=1 (x/3) ^2+ (y/4) ^2=1 x^2/9 + y^2/16 … 
someone please chek my math!
a. An ellipse is formed by stretching the graph of x^2+ y^2=1 horizontally by a factor of 3 and vertically by a factor of 4. Determine the equation of the ellipse in standard form x^2/a^2+y^2/b^2=1 (x/3) ^2+ (y/4) ^2=1 x^2/9 + y^2/16 … 
algebra
1)What is the distance between the museum and sailing club.I cant post the graph or anything but I have my numbers right its 53 but I used the distance formula so its either 53 units or the square root of 53 units. 2)Write the equation … 
Geometry HOMEWORK HELP ME PLEASE!
Draw the triangle with vertices D(2,1), U(4,9), and E(10,1) On a Graph. 2. Find DU, UE, AND DE. (Distance) 3. Classify Triangle DUE by its sides. 4. Write the standard form of the equation of each line: DU, UE, and DE.Also, find the … 
college algebra
Use pointslope form to write the equation of the line with the given properties. Write the equation in standard form. m is undefined passing through P(7, 7) 
math
Given the equation x^2 +y^2+8y65=0 (a) Write the equation in standard form. (b) State the center, radius, and intercepts. (c) Submit the graph 
math
Given the equation x^2 +y^2+8y65=0 (a) Write the equation in standard form. (b) State the center, radius, and intercepts. (c) Submit the graph 
college algebraneed help please!!
write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k) r=10; (h,k)=(8,6) 
Algebra 1 (Reiny or Kuai)
Write each equation in standard form and give the values of A, B, C. Then describe the graph. 1. x + 3/ 5 = y 
Math
1. Use pointslope form to write the equation of a line that has a slope of 2/3 and passed through (3,1). Write your final equation in slopeintercept form. Is the answer y=2/3+1 2. Write an equation of the line that passed through …