Question

The graph of y=√x is translated 4 units left and 1 unit up to create the function h(x). The graph of h(x) is shown on the coordinate grid.What is the range of h(x)?
{y|y ≥-4}
{y|y ≥ -1}
{y|y ≥ 1}
{y|y ≥ 4}

Answer 1

Answer:

  (c)  {y|y ≥ 1}

Step-by-step explanation:

You want the range of the square root function after it has been translated left 4 units and up 1 unit.

Range

The range of the function is the vertical extent of its graph. The original square root function has a range of y ≥ 0. Translating it up 1 unit gives it a range of ...

  y ≥ 1