document.write( "Question 875670: a, sketch the graph of the relation
\n" ); document.write( "{(x,y):(y-4)^2=x+2}.
\n" ); document.write( "b, state the implied domain and range of this station.
\n" ); document.write( "c, explain with reasons whether this relation is a function. \n" ); document.write( "

Algebra.Com's Answer #528371 by josgarithmetic(39618) $\"\"$ $\"About$

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Parabola in standard form, and graph has horizontal symmetry axis. Vertex (-2,4). Parabola opens to the right. This is a relation, not a function. The graph is two functions put together. You see in the graph each point of the graph shares the same x value as one other point,except the vertex. Each y value has two x values, so the graph is not a function. No points occur to the left of $\"x=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Domain is Real numbers greater than -2.
\n" ); document.write( "Range is all Real numbers.\r
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\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-6%2C16%2C-7%2C16%2C4-sqrt%28x%2B2%29%2C4%2Bsqrt%28x%2B2%29%29\"$ \n" ); document.write( "

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