SOLUTION: 1) a) Complete the table of values for y=2x^2 + 2x - 3 x -2 -1 0 1 2 y ....-3....... 9 b) Using the table of values, draw the graph of y=2x^2 + 2x - 3 c) Solve th

Algebra ->  Finance -> SOLUTION: 1) a) Complete the table of values for y=2x^2 + 2x - 3 x -2 -1 0 1 2 y ....-3....... 9 b) Using the table of values, draw the graph of y=2x^2 + 2x - 3 c) Solve th      Log On


   



Question 841546: 1) a) Complete the table of values for y=2x^2 + 2x - 3
x -2 -1 0 1 2
y ....-3....... 9
b) Using the table of values, draw the graph of y=2x^2 + 2x - 3
c) Solve the equation y=2x^2 + 2x - 3 = 0
d) Draw the line y=1 on the graph
e) Hence, or otherwise, solve 2x^2 + 2x - 3 = 1

Answer by grishma.kshatriya(27) About Me  (Show Source):
You can put this solution on YOUR website!
Solution :
Complete the table of values for y=2x^2 + 2x - 3
The values can be find by plugging the x values in the equation which gives us the y value ,
x -2 -1 0 1 2
y 1 -3 -3 1 9
(b) Plot the points on the graph and join by a smooth curve.
(c) The line y=1 will be passing through 1 and parallel to x-axis.
(d) solve 2x^2 + 2x - 3 = 1
Subtract 1 from both the sides ,
2x^2 + 2x - 2 = 0
Factoring out the 2 from the equation ,
2(x^2 + x - 1) = 0
x^2 + x - 1 = 0
Apply the quadratic formula x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5

Thank you.