Question

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

A. y = sqrt (4x - 4)
B. y = sqrt (4x + 4)
C. y = - sqrt (4x - 4)
D. y = - sqrt (4x + 4)

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)