Match each function formula with the corresponding transformation of the parent function y = (x - 1)2

1. y = - (x - 1)2 translated right by 1 unit
2. y = (x - 1)2 + 1 translated down by 3 units
3. y = (x + 1)2 reflected over the y-axis
4. y = (x - 2)2 reflected over the x-axis
5. y = (x - 1)2 - 3 translated up by 1 unit
6. y = (x + 3)2 translated left by 4 units

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

If f(x)=x^3 and g(x)=2x+7 when g(x)=-5

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.