Question

for the given equation, list the intercepts and test for symmetry.
4x^2+16y^2=64

Answer 1

if i could get step by step that would be awsome so I will know how to do it please

Answer 2

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Answer 3

\[4x ^{2} + 16y ^{2} = 64\]

divide the whole thing by 64\[\frac{ 4x ^{2} + 16 y ^{2} }{64} = \frac{ 64 }{ 64 }\]
\[\frac{ x ^{2} }{ 16} +\frac{ y ^{2} }{ 4 } = 1\]

This is an equation of an Ellipse centered at \[(0,0)\]

Answer 4

\[\frac{ x ^{2} }{ a ^{2} } + \frac{ y ^{2} }{ b ^{2} } = 1\]

x is the major axis and y is the minor axis. because \[a > b\]

Answer 5

You can see the intercepts there