How to find domain and range of a parabola graph

Asked by admin @ 22/11/2021 in Mathematics viewed by 325 People

Find the domain and range of a parabola with vertex (3, 4) and focus (1, 4).

Answered by admin @ 22/11/2021

9514 1404 393

Answer:

domain: (-∞, 3]
range: (-∞, ∞)

Step-by-step explanation:

The focus is to the left of the vertex, so the parabola opens to the left. The domain is all values of x less than or equal to 3: (-∞, 3].

The vertical extent of the graph is all real numbers, so the range is (-∞, ∞).

The graph shows the focus and directrix as well as the parabola.

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