Can you help me find the absolute min and max?
y=-2x² + 12x – 20; [2, 4]

x = -3

Step-by-step explanation:

There can be only one possibility:

either maxima or minima

1. differentiate the equation

2. slope = 4x + 12

3. at absolute maxima or minima slope of graph is 0

4. 0 = 4x +12

5. 4x = -12

6. x = -3

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.