Y^2 = x + 16 List the intercepts and test for symmetry

Amin Taghikhani asked Jul 16, 2023

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44 votes

Y^2 = x + 16
List the intercepts and test for symmetry

Amin Taghikhani asked Jul 16, 2023

2.6k points

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17 votes

Answer:

See below

Explanation:

X-intercepts

$y^2=x+16\\0^2=x+16\\0=x+16\\x=-16\\(-16,0)$

Y-intercept

$y^2=x+16\\y^2=0+16\\y^2=16\\y=\pm4\\(0,-4),(0,4)$

Symmetry is on the x-axis

Ben Dowling answered Jul 22, 2023

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