document.write( "Question 667355: Show work, determine the quadratic function f whose graph is given the vertex is (2,-7 and the y-intercept is -3.
\n" ); document.write( "F(x)=
\n" ); document.write( "Simplify your answer
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Algebra.Com's Answer #414998 by lwsshak3(11628) $\"\"$ $\"About$

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Show work, determine the quadratic function f whose graph is given the vertex is (2,-7 and the y-intercept is -3.
\n" ); document.write( "F(x)=
\n" ); document.write( "Simplify your answer
\n" ); document.write( "**
\n" ); document.write( "Using standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
\n" ); document.write( "plug in given coordinates of vertex (2,-7)
\n" ); document.write( "y=A(x-2)^2-7
\n" ); document.write( "plug in given coordinates of y-intercept: (0,-3), then solve for A
\n" ); document.write( "-3=A(0-2)^2-7
\n" ); document.write( "-3=4A-7
\n" ); document.write( "4A=4
\n" ); document.write( "A=1
\n" ); document.write( "Equation of parabola: (quadratic function):
\n" ); document.write( "F(x)=(x-2)^2-7
\n" ); document.write( "see graph below:
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C++%28x-2%29%5E2-7%29+\"$ \n" ); document.write( "

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