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Identify the type of conic section that has the equation 9x2+ 16y2 = 144 and identify its domain and range.


ellipse

Domain: {–3 ≤ x ≤ 3}

Range: {–4 ≤ y ≤ 4}



ellipse

Domain: {–4 ≤ x ≤ 4}

Range: {–3 ≤ y ≤ 3}



hyperbola

Domain: all real numbers

Range: {y ≤ –4 or y ≥ 4}



hyperbola

Domain: {x ≤ –4 or x ≥ 4}

Range: all real numbers

Verified Answer :

HomertheGenius

9 x² + 16 y² = 144  /:144
\(\frac{ x^{2} }{16} + \frac{ y^{2} }{9} =1\)
General formula of ellipse ( the center is at the origin ):\(\frac{ x^{2} }{ a^{2} }+ \frac{ y^{2} }{ b^{2} } =1\) 
a² = 16,  b² = 9
Domain: [-a, a ] = [-4, 4]
Range:[-b, b ]
Answer: B ) ellipse.
Domain: { -4 ≤ x ≤ 4 }
Range: { -3 ≤ y ≤ 3 }

llgreenleafll

Answer:  B ) ellipse.

Domain: { -4 ≤ x ≤ 4 }

Range: { -3 ≤ y ≤ 3 }

Step-by-step explanation:

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