Question

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

(−376,−8)
, (−210,−6)
, (−92,−4)
, (−30,−2)
, (0,0)
left parenthesis negative 376 comma negative 8 right parenthesis , left parenthesis negative 210 comma negative 6 right parenthesis , left parenthesis negative 92 comma negative 4 right parenthesis , left parenthesis negative 30 comma negative 2 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,−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,−104)
, (−6,78)
, (−4,52)
, (−2,26)
, (0,0)

Answer 1

To evaluate the function \( g(h) = -6h^2 - 2h + h \), we first simplify it:

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

Next, we will compute \( g(h) \) for each of the given inputs: \( h = -8, -6, -4, -2, 0 \).

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

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

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

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

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

Now, summarizing the computed coordinates:
- \((-8, -376)\)
- \((-6, -210)\)
- \((-4, -92)\)
- \((-2, -22)\)
- \((0, 0)\)

The correct option that matches these coordinates is:
**(−8,−376), (−6,−210), (−4,−92), (−2,−22), (0,0)**

Thus, the correct answer is:
\((-8, -376), (-6, -210), (-4, -92), (-2, -22), (0, 0)\).