What is the domain of the following parabola?


u-shaped graph that opens down with a vertex of 1, 2

x ≥ 1

x ≤ 1

All real numbers

y ≤ 2

What is the domain of the following parabola? u-shaped graph that opens down with a vertex of 1, 2 x 1 x 1 All real numbers y 2 class=

Verified Answer :

domain is the input or the possible x values
basically this quesiton asks, how far does it go along the x axis

the answer is all real numbers since when it goes down it branches out both ways

Answer:

Domain: All real numbers

C is correct

Step-by-step explanation:

We are given a graph of parabola because it is U-shape with vertex (1,2) and open downwards.

Open downwards parabola equation:

\(y=-a(x-1)^2+2\)

We need to find the domain of graph.

As we know the domain of parabola is all real number but restriction on range.

Domain: All real numbers

\(\text{Domain: }x\epsilon(-\infty,\infty)\)

Hence, The domain of given graph is all real numbers.