Question:
Writein the form
where the values of b and c are to be found.
(a) State the minimum value offor which this occurs.
(b) Determine the values of.
Attempt:
What to do next?
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Question:
Write
(a) State the minimum value of
(b) Determine the values of
Attempt:
What to do next?
Hello,
The beginning is correct.
To continue, you can remember that something squared is always > 0.
So (x+5)²+13 has a minimum when (x+5)² = 0, because 0 is the minimal value for a square.
For b), (x+5)²+13>22 <=> (x+5)²>9=3²
-> |x+5|>3
For a parabola in the form of(note the negative sign in front of b), the vertex is given by (b, c).
Now solve the inequality by finding the roots and finding the regions in which the inequality holds.