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What are the correct coordinates for the function g(h)=−6h2−2h+h

with inputs of −8
, −6
, −4
, −2
, and 0?(1 point)
Responses

(−8,−376)
, (−6,−210)
, (−4,−92)
, (−2,−22)
, (0,0)
left parenthesis negative 8 comma negative 376 right parenthesis , left parenthesis negative 6 comma negative 210 right parenthesis , left parenthesis negative 4 comma negative 92 right parenthesis , left parenthesis negative 2 comma negative 22 right parenthesis , left parenthesis 0 comma 0 right parenthesis

(−8,−360)
, (−6,−198)
, (−4,−84)
, (−2,−6)
, (0,0)
left parenthesis negative 8 comma negative 360 right parenthesis , left parenthesis negative 6 comma negative 198 right parenthesis , left parenthesis negative 4 comma negative 84 right parenthesis , left parenthesis negative 2 comma negative 6 right parenthesis , left parenthesis 0 comma 0 right parenthesis

(−8,−104)
, (−6,78)
, (−4,52)
, (−2,26)
, (0,0)
left parenthesis negative 8 comma negative 104 right parenthesis , left parenthesis negative 6 comma 78 right parenthesis , left parenthesis negative 4 comma 52 right parenthesis , left parenthesis negative 2 comma 26 right parenthesis , left parenthesis 0 comma 0 right parenthesis

(−376,−8)
, (−210,−6)
, (−92,−4)
, (−30,−2)
, (0,0)

1 answer

To find the correct coordinates for the function \( g(h) = -6h^2 - 2h + h \), we need to simplify the function first:

\[ g(h) = -6h^2 - 2h + h = -6h^2 - h \]

Next, we will evaluate \( g(h) \) at the given inputs: -8, -6, -4, -2, and 0.

  1. For \( h = -8 \): \[ g(-8) = -6(-8)^2 - (-8) = -6(64) + 8 = -384 + 8 = -376 \]

  2. For \( h = -6 \): \[ g(-6) = -6(-6)^2 - (-6) = -6(36) + 6 = -216 + 6 = -210 \]

  3. For \( h = -4 \): \[ g(-4) = -6(-4)^2 - (-4) = -6(16) + 4 = -96 + 4 = -92 \]

  4. For \( h = -2 \): \[ g(-2) = -6(-2)^2 - (-2) = -6(4) + 2 = -24 + 2 = -22 \]

  5. For \( h = 0 \): \[ g(0) = -6(0)^2 - 0 = 0 \]

Now, summarizing these results, we have the coordinates:

  • \( (-8, -376) \)
  • \( (-6, -210) \)
  • \( (-4, -92) \)
  • \( (-2, -22) \)
  • \( (0, 0) \)

Thus, the correct response is:

\[ \text{(−8,−376), (−6,−210), (−4,−92), (−2,−22), (0,0)} \]