Translated 7 units right and 2 units up.

Write an equation of the new function in vertex form.

An equation of the new function in vertex form is .  

Step-by-step explanation:

Consider parent function as .

According to the transformation of graph,

The function shifts the function to right side by b units.

So in this case, graph is translated to the right side by 7 units, so the parent function can be written as

The function shifts the function in upward direction by b units.

So in this case, graph is translated in upward by 2 units, so the function can be written as

Now vertex form of quadratic equation is given as,

So the final equation is .  .

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb