the derivitive is just the slope
minimum happens when the derivitive goes from negative to positive, imagine a slope of the function, the minimum is where the slope goes from neative to positive, and to get there, it has to pass through 0
max happens when the derivitive goes from positive to negative
increaseing is when the derivitive is positive
so, based on what you said, the slope of f(x) is 0 at x=-3, x=1 and x=2 since those are where the derivitive is 0 (derivitive is just the slope)
A and B are wrong because the derivitive isn't 0 at those points
C is correct because increasing means that the derivitive is positive, and so therefo since the only hoirontal place in between 1 and 2 is 1.5, it must remain positive throughout and not dip down, C is right
D is wrong then
answer is C
Answer: this is Judy Heckman you answered a question about a parabola graph and someone went off of it before I could study it. Help thanks
Step-by-step explanation:
First introduce the following notations:
Answer: (x - 3)² = 21
<u>Step-by-step explanation:</u>
x² - 6x + ____ = 12 + ____
↓ ↑ ↑

x² - 6x + <u> 9 </u> = 12 + <u> 9 </u>
(x - 3)² = 21
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Answer: (x - 6)² = 26
<u>Step-by-step explanation:</u>
2x² - 24x = -20
<u>÷2 </u> <u> ÷2 </u> <u> ÷2 </u>
x² - 12x = -10
x² - 12x + ____ = -10 + ____
↓ ↑ ↑

x² - 12x + <u> 36 </u> = -10 + <u> 36 </u>
(x - 6)² = 26
Answer:
33beacuse you i have -90×+60=9×6=369-63