Question

Graph the function and identify the domain and range.

y = –6x2
(1 point)
Responses may you please tell me the correct answer and why

A parabola opening down is graphed on a coordinate plane with vertex at (0, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is less than or equal to 0.

domain: (–∞,∞)

range: y ≤ 0
Image with alt text: A parabola opening down is graphed on a coordinate plane with vertex at (0, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is less than or equal to 0. domain: (–∞,∞) range: y ≤ 0

A parabola opening up is graphed on a coordinate plane with vertex at (0, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is greater than or equal to 0.

domain: (–∞,∞)

range: y ≥ 0
Image with alt text: A parabola opening up is graphed on a coordinate plane with vertex at (0, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is greater than or equal to 0. domain: (–∞,∞) range: y ≥ 0

A parabola opening up is graphed on a coordinate plane with vertex at (2, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is greater than or equal to 0.

domain: (–∞,∞)

range: y ≥ 0
Image with alt text: A parabola opening up is graphed on a coordinate plane with vertex at (2, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is greater than or equal to 0. domain: (–∞,∞) range: y ≥ 0

A parabola opening up is graphed on a coordinate plane with vertex at (negative 2, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is greater than or equal to 0.

domain: (–∞,∞)

range: y ≥ 0
Image with alt text: A parabola opening up is graphed on a coordinate plane with vertex at (negative 2, 0). Domain is labeled left parenthesis negative infinity, infinity right parenthesis. Range is: y is greater than or equal to 0. domain: (–∞,∞) range: y ≥ 0

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

A parabola opening up is graphed on a coordinate plane with vertex at (0, 0). Domain is labeled as (-∞, ∞) and the range is y ≥ 0.

Explanation:
For the function y = -6x^2, since the coefficient of x^2 is negative, the parabola opens downwards. The vertex of the parabola is at (0,0). The domain of the function is all real numbers (-∞, ∞) because the function is defined for all values of x.
Since the parabola opens downwards, the range of the function is y ≤ 0. So, the correct range is y ≤ 0.