How is the graph of [tex]y = -8x^2 - 2[/tex] different from the graph of [tex]y = -8x^2[/tex]?

y = -8x^2 - 2 is different from the graph of y = -8x^2 because it has been translated down two units. We can confirm this by testing values. For instance y = -8x^2 - 2 is -2 at x = 0, while y = -8x^2 is 0.

Answered by chipperrider | 2024-06-24

it is shifted down 2 units
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Answered by cattt77 | 2024-06-24

The graph of y = − 8 x 2 − 2 is a downward shift by 2 units from the graph of y = − 8 x 2 . Both graphs are parabolas opening downwards, but their vertex locations differ, with the second graph's vertex at (0, -2). The shape remains unchanged between the two graphs.
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Answered by chipperrider | 2024-09-06