Re-write the quadratic function below in standard form
y= -(x-3)(x+7)
Y=?

Step-by-step explanation:

If you factor the equation using FOIL you get x^2, -3x, 4x, and -21. Then we change the signs because of the negative and get -x^2, 3x, -4x, and 21, which we can simplify to y=-x^2-4x+21

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.