Write a function that is shifted down 2 units and then reflected over the x-axis. Parent function is y = -5x - 8

y = 5x - 10

Step-by-step explanation:

If we take into account the parent function as the one that needs to be shifted and reflected then the new created function would be...

y = 5x - 10

This is because in order to reflect a function over the x-axis you need to multiply that function by -1. That being the case it would give us new function of

y = 5x - 8

Now in order to shift it down by 2 we simply need to subtract 2 from the function which would make is -10 since the 8 is a negative.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions