Bot GPT 4-o mini To find the correct coordinates for the function \( g(h) = -6h^2 - 2h + h = -6h^2 - h \) with given inputs, we need to evaluate the function at each input value and subsequently plot the points as coordinates \((h, g(h))\).
Let's compute \( g(h) \) for each specified input:
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For \( h = -8 \): \[ g(-8) = -6(-8)^2 - (-8) = -6(64) + 8 = -384 + 8 = -376 \implies (-8, -376) \]
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For \( h = -6 \): \[ g(-6) = -6(-6)^2 - (-6) = -6(36) + 6 = -216 + 6 = -210 \implies (-6, -210) \]
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For \( h = -4 \): \[ g(-4) = -6(-4)^2 - (-4) = -6(16) + 4 = -96 + 4 = -92 \implies (-4, -92) \]
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For \( h = -2 \): \[ g(-2) = -6(-2)^2 - (-2) = -6(4) + 2 = -24 + 2 = -22 \implies (-2, -22) \]
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For \( h = 0 \): \[ g(0) = -6(0)^2 - (0) = 0 \implies (0, 0) \]
Now, let's summarize the points we calculated:
- \( (-8, -376) \)
- \( (-6, -210) \)
- \( (-4, -92) \)
- \( (-2, -22) \)
- \( (0, 0) \)
Thus, the correct coordinates are:
(−8,−376), (−6,−210), (−4,−92), (−2,−22), (0,0).
This corresponds to the last option provided.
1 answer