document.write( "Question 1202858: Find the vertex, focus, and the directrix of the parabola 𝑦2 − 4𝑦 + 4𝑥 + 4 = 0
\n" ); document.write( "Unsure I solved the equation.
\n" ); document.write( "𝑦2 − 4𝑦 + 4𝑥 + 4 = 0
\n" ); document.write( "𝑦2 − 4𝑦 + 4𝑥 + 4−4𝑥 − 4 = 0 −4𝑥 − 4
\n" ); document.write( "− 𝑦2 − 4𝑦 =−4𝑥 - 4
\n" ); document.write( "− 𝑦2 − 4𝑦 + 4 =−4𝑥 − 4 + 4
\n" ); document.write( "(y−2)² = −4x
\n" ); document.write( "(y−2)² = 4(−1)(x−0)
\n" ); document.write( "Horizontal Parabola (opens left)
\n" ); document.write( "(y−k)² = 4p(x−h)
\n" ); document.write( "Vertex (0, 2)
\n" ); document.write( "Focus (−1, 2)
\n" ); document.write( "Directrix = 1
\n" ); document.write( "p = −1
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #838028 by math_tutor2020(3817) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "You have the correct answers. Nice work.
\n" ); document.write( "I have confirmed the answers with GeoGebra.\r
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\n" ); document.write( "\n" ); document.write( "The only error that I see is the $\"-y%5E2-4y\"$ portion should instead be $\"y%5E2-4y\"$ .
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