Question

How do you graph `y=-0.5 sqrt x`?

Answer 1

Compare it to the parent function and adjust accordingly to the values that are absent/differs.

Explanation:

Let's compare this function to the parent function: `f(x)=sqrtx`

It looks like this:

graph{sqrtx [-10, 10, -5, 5]}

With your function, the only difference is the `a`-value. The `a`-value affects the vertical sense of the function.

With an `a`-value of `~0.5`, the function will become vertically compressed and inverted along the `x`-axis.

Thus, it will look like this:

graph{-0.5sqrtx [-10, 10, -5, 5]}

Hope this helps :)