Y=(x+5) (x+4) in vertex form of parabola

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

(h, k) - verex

We have:

           use FOIL (a + b)(c + d) = ac + ad + bc + bd

a = 1, b = 9, c = 20

For k, put the value of h to the equation y = (x + 5)(x + 4):

Finally:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.