document.write( "Question 79052: I need help to write an equation of a quadratic function whose graph is a parabola that has a vertex (-3,7) and that passes through the origin. Please. \n" ); document.write( "

Algebra.Com's Answer #56741 by funmath(2933) $\"\"$ $\"About$

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I need help to write an equation of a quadratic function whose graph is a parabola that has a vertex (-3,7) and that passes through the origin. Please.
\n" ); document.write( "The vertex form of an equation of a parabola is: $\"highlight%28y=a%28x-h%29%5E2%2Bk%29\"$ , where (h,k) is the vertex.
\n" ); document.write( "Let (x,y)=(0,0) the origin
\n" ); document.write( "Let the vertex (h,k)=(-3,7)
\n" ); document.write( " $\"0=a%280-%28-3%29%29%5E2%2B%287%29\"$
\n" ); document.write( " $\"0=a%289%29%2B7\"$
\n" ); document.write( " $\"0-7=9a%2B7-7\"$
\n" ); document.write( " $\"-7=9a\"$
\n" ); document.write( " $\"-7%2F9=9a%2F9\"$
\n" ); document.write( " $\"-7%2F9=a\"$
\n" ); document.write( "Plug a=-7/9 and (h,k)=(-3,7) back into the vertex form of the equation.
\n" ); document.write( " $\"y=%28-7%2F9%29%28x-%28-3%29%29%5E2%2B%287%29\"$
\n" ); document.write( " $\"highlight%28y=%28-7%2F9%29%28x%2B3%29%5E2%2B7%29\"$
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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