Without solving explain why the equations do not have solutions

We have 2 terms:

and

For the sum of these to equal a negative number, in this case -3, one of these terms would have to be negative.

The function (square root of x) only returns positive values!

(See the attached image for a graph of )

Since neither of the terms can be negative, it can't be equal to -3. In other words, no matter what we put as , we can't solve the solution, so we say that the equation does not have any solutions.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

21

step-by-step explanation: