document.write( "Question 92516: Hello out there,I need some help with some problems,The first one is,Find the y-intercept of y=2^x.The next one is,Use quadratic formula to solve:5x^2+12=-6x.The third one is,Use the quadratic formula to solve:x^2+12x+11=0.The last one is,Describe how the graph of y=(x-6)^2+5 changes from the parent graph of y=x^2.Thanks for any one can help. \n" ); document.write( "

Algebra.Com's Answer #67365 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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1.Find the y-intercept of y=2^x.
\n" ); document.write( "The y intercept occurs when x = 0, we know that any number to the power of 0 is equal to 1.
\n" ); document.write( "y = 2^0
\n" ); document.write( "y = 1
\n" ); document.write( ":
\n" ); document.write( "2. Use quadratic formula to solve:5x^2+12=-6x. Put into the ax^2 + bx + c = 0 format.
\n" ); document.write( "5x^2 + 12 = -6x
\n" ); document.write( "5x^2 + 6x + 12 = 0
\n" ); document.write( ":
\n" ); document.write( "a = 5; b = 6; c = 12
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-6+%2B-+sqrt%28+6%5E2+-+4+%2A+5+%2A+12+%29%29%2F%282%2A5%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-6+%2B-+sqrt%28+36+-+108+%29%29%2F%2810%29+\"$
\n" ); document.write( ":
\n" ); document.write( "You can see that the discriminant will be < 0, no real roots
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "3. Use the quadratic formula to solve:x^2+12x+11=0.
\n" ); document.write( "a = 1; b = 12; c = 11
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28+12%5E2+-+4+%2A+1+%2A+11+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28+144+-+44+%29%29%2F%282%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28100+%29%29%2F%282%29+\"$
\n" ); document.write( ":
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x+=+%28-12+%2B+10%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+-2%2F2+\"$
\n" ); document.write( "x = -1
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28-12+-10%29%2F%282%29+\"$
\n" ); document.write( "

x = -22/2
\n" ); document.write( "x = -11
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "4.Describe how the graph of y=(x-6)^2+5 changes from the parent graph of y=x^2.
\n" ); document.write( "Minimum is at origin in y = x^2, minimum is at x/y coordinate 6,5 for y = (x-6)^2 + 5
\n" ); document.write( ": \n" ); document.write( "

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