Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x) = √x-6 horizontal shift of 6 units left
horizontal shift of 6 units right
vertical stretch by a factor of 6
vertical shift of 6 units up

Which equation represents the transformation of f(x)=|x| when effected by a vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units?

g(x)= 1/3 |x−4| + 2

g(x)= 1/3 |x+4| − 2

g(x)= 3 |x−4| + 2

g(x)= 3 |x+4| + 2

b

c

Step-by-step explanation:

First question: x - 6 means there is a shift to the right.

Second Question: substitute the given values into the original equation for appropriate transformations.

3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

no problobm

step-by-step explanation: