A hyperbola is represented by the equation Start Fraction x squared over 16 End Fraction minus Start Fraction left-parenthesis y minus 4 right-parenthesis squared over 7 End Fraction equals 1. Identify the asymptotes of the graph.
(1 point)
Responses
y equals Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis and y equals negative Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis
Image with alt text: y equals Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis and Image with alt text: y equals negative Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis
y equals Start Fraction 16 over 7 End Fraction x plus 4 and y equals negative Start Fraction 16 over 7 End Fraction x plus 4
Image with alt text: y equals Start Fraction 16 over 7 End Fraction x plus 4 and Image with alt text: y equals negative Start Fraction 16 over 7 End Fraction x plus 4
y equals Start Fraction Start Root 7 End Root over 4 End Fraction x plus 4 and y equals negative Start Fraction Start Root 7 End Root over 4 End Fraction x plus 4
Image with alt text: y equals Start Fraction Start Root 7 End Root over 4 End Fraction x plus 4 and Image with alt text: y equals negative Start Fraction Start Root 7 End Root over 4 End Fraction x plus 4
y equals Start Fraction Start Root 7 End Root over 4 End Fraction left-parenthesis x plus 4 right-parenthesis and y equals negative Start Fraction Start Root 7 End Root over 4 End Fraction left-parenthesis x plus 4 right-parenthesis
The correct response is:
y equals Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis and y equals negative Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis
Image with alt text: y equals Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis and Image with alt text: y equals negative Start Fraction 16 over 7 End Fraction left-parenthesis x plus 4 right-parenthesis