document.write( "Question 143484This question is from textbook College Algebra
\n" ); document.write( ": For this formula find the (a)vertex; (b)axis of symmetry;(c)determine whether there is a maximum or minimum value and find that value; and (d) graph the function:
\n" ); document.write( "g(x) = -2x^2 + 2x +1
\n" ); document.write( "I know the answer--its in my book, but I cannot seem to figure out how to get to that answer. please help!!!! \n" ); document.write( "

Algebra.Com's Answer #104428 by nabla(475) $\"\"$ $\"About$

You can put this solution on YOUR website!
Vertex--> x= -b/2a for quadratic equation in form ax^2+bx+c=0. \r
\n" ); document.write( "\n" ); document.write( "Axis of symmetry--> in general the x value of the vertex.\r
\n" ); document.write( "\n" ); document.write( "Max/min--> Without the use of calculus, we can notice that this will be a parabola that opens DOWNWARD (leading term, a, is negative), thus the vertex has to be the maximum.\r
\n" ); document.write( "\n" ); document.write( "In order to graph, find the intercepts by setting g(x)=0, then find the y-intercept by setting x=0. You have essentially all the information, now, to produce this:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"graph%28+300%2C+300%2C+-5%2C+5%2C+-30%2C+30%2C+-2x%5E2+%2B+2x+%2B1+%29\"$ \r
\n" ); document.write( "\n" ); document.write( "If you want me to go more in-depth send me an E-mail at enabla@gmail.com . \n" ); document.write( "

\n" );