document.write( "Question 183833This question is from textbook Algebra and Trigonometry Structure and Method book 2
\n" ); document.write( ": I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r
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\n" ); document.write( "\n" ); document.write( "Writing Quadratic Equations and Functions
\n" ); document.write( "Find a quadratic function F(x)=ax^2+bx+c for each parabola described.
\n" ); document.write( "y-intercept 2; x-intercepts 1 and 5 \n" ); document.write( "

Algebra.Com's Answer #137941 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The y-intercept occurs where $\"x=0\"$ , so
\n" ); document.write( " $\"y%280%29+=+2\"$ and
\n" ); document.write( " $\"y%280%29+=+a%2A0%5E2%2Bb%2A0%2Bc+\"$
\n" ); document.write( " $\"y%280%29+=+c\"$ so,
\n" ); document.write( " $\"c+=+2\"$
\n" ); document.write( "The x-intercepts are the roots
\n" ); document.write( "For a quadratic, where $\"y+=+0\"$
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc+=+0+\"$
\n" ); document.write( "The roots occur at
\n" ); document.write( " $\"x+=+r%5B1%5D\"$
\n" ); document.write( " $\"x+=+r%5B2%5D\"$
\n" ); document.write( " $\"%28x+-+r%5B1%5D%29%28x+-+r%5B2%5D%29+=+0\"$ (If $\"x+=+r%5B1%5D\"$ or $\"x+=+r%5B2%5D\"$ , then
\n" ); document.write( "this is true)
\n" ); document.write( "given:
\n" ); document.write( " $\"r%5B1%5D+=+1\"$
\n" ); document.write( " $\"r%5B2%5D+=+5\"$ so,
\n" ); document.write( " $\"%28x+-+1%29%28x+-+5%29+=+0\"$
\n" ); document.write( " $\"x%5E2+-+6x+%2B+5+=+0\"$
\n" ); document.write( "Multiply both sides by $\"2%2F5\"$
\n" ); document.write( " $\"%282%2F5%29%2Ax%5E2+-+%2812%2F5%29%2Ax+%2B+2+=+0\"$ answer
\n" ); document.write( "I'll plot this
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