document.write( "Question 478266: Please Can you help me !!!!!\r
\n" ); document.write( "\n" ); document.write( "Write each equation in standard form. State whether the graph of the equation is a parabola, circle,ellipse, or hyperbola.
\n" ); document.write( "y=x^2+3x+1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Write the equation in standard form. State whether the graph of the equation is a parabola, circle,ellipse, or hyperbola.
\n" ); document.write( "x^2+4y^2+2x-24y+33=0 \n" ); document.write( "

Algebra.Com's Answer #327677 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,\r
\n" );
document.write( "\n" );
document.write( "Write each equation in standard form. State whether the graph of the equation is a parabola, circle,ellipse, or hyperbola.
\n" );
document.write( " y = x^2 + 3x + 1 
\n" );
document.write( "y = (x+3/2)^2 -9/4 + 1 = 
\n" );
document.write( "y = (x+3/2)^2 -5/4  |Parabola opening upward with Vertex (-3/2,-5/4)
\n" );
document.write( "standard form is , (x-3)^2 = y + 5/4\r
\n" );
document.write( "\n" );
document.write( "x^2+4y^2+2x-24y+33=0
\n" );
document.write( " (x+1)^2 - 1 + 4(y-3)^2 - 36 + 33 = 0
\n" );
document.write( "  (x+1)^2 + 4(y-3)^2 = 4
\n" );
document.write( "  (x+1)^2/4 + (y-3)^2 = 1 |Ellipse, C(-1,3) major axis along y = 3
\n" );
document.write( "\r
\n" );
document.write( "\n" );
document.write( "Standard Form of an Equation of a Circle is  
\n" );
document.write( "where Pt(h,k) is the center and r is the radius\r
\n" );
document.write( "\n" );
document.write( " Standard Form of an Equation of an Ellipse is 
\n" );
document.write( "where Pt(h,k) is the center and a and b  are the respective vertices distances from center.\r
\n" );
document.write( "\n" );
document.write( "Standard Form of an Equation of an Hyperbola opening right and  left is:
\n" );
document.write( "   where Pt(h,k) is a center  with vertices 'a' units right and left of center.
\n" );
document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
\n" );
document.write( "   where Pt(h,k) is a center  with vertices 'b' units up and down from center.\r
\n" );
document.write( "\n" );
document.write( "the vertex form of a parabola opening up or down,  where(h,k) is the vertex.The standard form is , where  the focus is (h,k + p)
\n" );
document.write( "the vertex form of a parabola opening right or left,  where(h,k) is the vertex.The standard form is , where  the focus is (h +p,k )
\n" );
document.write( " \n" );
document.write( "

\n" );