Question

How do you graph `y=5sqrtx`?

Answer 1

You asked "how do you graph". This has been provided.

Explanation:

Consider this example:

`2^2=4`

The thing is; `(-2)xx(-2) = +4" so "sqrt(4)` could be -2

Also `(+2)xx(+2)=+4" so "sqrt(4)` could be +2 as well

Thus we have `sqrt(4)=+-2`
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So for your question:
`y=5sqrt(x)` in fact is `y=+-5sqrt(x)`

`color(magenta)("The trap")`

Suppose `x` is negative. Then the square root takes you into the realm of complex numbers.

`color(red)("Assumption: "x" is not negative.")`
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Build a table of values calculating what `y` is for the selected values of `x`. Remembering that `x` is not negative.

Note that for each value of `x` there will be corresponding values of `+-y`

Plot the points and draw a line through the points as best as you can.