Question

Please help! Given b = 4 and h = 1, what is the equation of the graph if the parent function is y = sqrt x?

Answer 1

To solve this problem, we make use of the formula:

y = a sqrt (b (x – h)) + k                  ---> 1

Since we are given the parent function:

y = sqrt (x)                                          ---> 2

Then this automatically means that:

a = 1       and        k = 0

So going back to equation 1 at a = 1 and k = 0:

y = 1 sqrt (b (x – h))

Since it is given that, b = 4            and        h = 1, therefore:

y = sqrt (4 (x – 1))

y = sqrt (4 x – 4)

 

Answer:

A. y = sqrt (4 x – 4)