Question

The graph of a quadratic function has a domain of (-infinity , infinity) and range of [4, infinity). In two or more complete sentences explain how the given range of the function can help you to determine whether the graph open up or down

Answer 1

Answer:
The graph opens up because the minimum value of the function is 4 and the function goes to infinity as x -> -∞, and as x -> +∞.

Step-by-step explanation:
The given domain of x = (-∞, ∞).
Because the range of y = (4, ∞), there is a vertex at a value of (x, 4).

The function is of the form
y = a(x-h)² + 4
where
(h,4) is the vertex, for some value of x = h.
a is positive because the curve opens up.