Posted by Megan on Tuesday, October 12, 2010 at 3:44pm.


I have a question if someone could help, please explain it.

Given b = -1 and h = -1, what is the equation of the graph if the parent function is y = sqrt (x)

Answers:
a.y = sqrt(x-1)
b.y = sqrt (-x+1)
c.y = - sqrt (-x-1)
d.y = sqrt(-x-1)

I think it is "b"

Since neither b nor h appear in your answer choices, I have no whay of knowing what they refer to and cannot answer the question.

You must have omitted important information or a figure.

Hi, no I just checked this-all they wanted was what a (-b) qunatity and a negative (h) quantity would do to the parent function- like how it would be written If you had the parent function y = square root of (x)-how a negative b and negative h would affect it

To find the equation of the graph based on the given values of b and h, we can use the transformation rule for parent functions.

The parent function given is y = sqrt(x), which represents the square root function. In this function, the variables b and h are not present, so we can assume their values are both 0.

To translate the graph horizontally, we subtract h from x. In this case, h is -1, so we subtract -1 from x, which becomes x + 1.

To translate the graph vertically, we add b to y. In this case, b is -1, so we add -1 to y, which becomes y - 1.

Therefore, the equation of the transformed graph is:

y - 1 = sqrt(x + 1)

By rearranging the equation, we get:

y = sqrt(x + 1) + 1

Comparing this equation to the given options:

a. y = sqrt(x-1) (incorrect, because we added 1, not subtracted 1)
b. y = sqrt(-x+1) (incorrect, because we added x, not subtracted x)
c. y = -sqrt(-x-1) (incorrect, because we added the opposite of -1, not subtracted the opposite of -1)
d. y = sqrt(-x-1) (correct option, because it matches the equation we derived)

So, the correct answer is d. y = sqrt(-x-1).