A mother is three times as old as her daughter, and the sum of their ages is 44. How old is the mother?

33

Step-by-step explanation:

If m = Mother's age and d = daughter's age, we can make the following equations

m = 3d

m + d = 44

Now, using substitution, we can substitute m for 3d in the second equation:

3d + d = 44, 4d = 44, d = 11

Then, we can plug d into the first equation: m = 3(11) = 33

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.