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Rearrange the equation making y the subject.
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2y-x²+8x-16=0
2y = x²-8x+16
2y = (x-4)²
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Find y-intercept.
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When x = 0
2y = (0 - 4)²
2y = 16
y = 8
The y-intercept is (0, 8).
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Find x-intercept
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When y = 0
(x - 4)² = 0
x - 4 = 0
x = 4
The x intercept is (4, 0).
Plot the graph (See attached)