Given a = -3, b = 2, h = 1, and k = -4, what is the equation of the graph if the parent function is y=√x?
Describe the transformation.

Question

Given a = -3, b = 2, h = 1, and k = -4, what is the equation of the graph if the parent function is y=√x?
Describe the transformation.

anonymous · Answer

I don't mind if I only get the answer, but if you can, could you explain it to me please? Thank you >.<

jdoe0001 · Answer

what's the ABH form you have again?

jdoe0001 · Answer

you can just take a screenshot, if it's quicker :)

anonymous · Answer

y = a√(b(x-h))+k

anonymous · Answer

Math is a pain the the butt lmao

jdoe0001 · Answer

so A is a shrink or stretch on the graph
h is just a horizontal shift
k is just the vertical shift

jdoe0001 · Answer

now "b" is a horizontal shift too BUT, the value of B changes the parent function position to 
h/b
h/b > 0, to the left
h/b < 0, to the right

anonymous · Answer

Okay I get that part :)

jdoe0001 · Answer

so the $\bf \sqrt{x}$
 a = 3
stretches the graph I think by 1/3

b =2 and h = 1
h/b  = 1/2  positive
so the shrunken graph gets moved by 1/2 to the left, that is at x = 0.5

k = -4

the shifted shrunken graph then gets flushed down with a vertical shift to the bottom by 4 units

jdoe0001 · Answer

x = -0.5 I meant, negative that is