SOLUTION: I know how to find increasing and decreasing but I am having trouble finding this one:
f(x) = −2(x + 1)2 + 4
Increasing:?
Decreasing:?
Please explain your answ
Algebra.Com
Question 993358: I know how to find increasing and decreasing but I am having trouble finding this one:
f(x) = −2(x + 1)2 + 4
Increasing:?
Decreasing:?
Please explain your answer so that I understand. Thank you!
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
This equation is in vertex form.
The vertex of the parabola is (,).
Since the multiplier for the quadratic term is negative ,, the parabola opens downwards and the maximum value occurs at the vertex.
So for x values before the vertex the y values are increasing and for x values after the vertex, the y values are decreasing.
Increasing :
Decreasing :
.
.
.
.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x) = −2(x + 1)^2 + 4
f(x) = -2(x^2+2x+1) + 4
f(x) = -2x^2-4x+2
-------------------
----------------------
Take the derivative to get:
f'(x) = -4x-4
---
Increasing:?
Solve: -4x-4 > 0
-4x > 4
x < -1
Increasing on (-oo,-1)
-----------------------------
Decreasing:?
Solve: -4x-4 < 0
-4x < 4
x > -1
Decreasing on (-1,+oo)
===========
Cheers,
Stan H.
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