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Adi3
 one year ago
for each of the following quadratic functions:
(i) Find the coordinates for the vertex
(ii) determine whether the vertex is max or min
(iii) find the range for the functions
(a) f(x) = 2x^2 +4
Adi3
 one year ago
for each of the following quadratic functions: (i) Find the coordinates for the vertex (ii) determine whether the vertex is max or min (iii) find the range for the functions (a) f(x) = 2x^2 +4

This Question is Closed

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2\(\color{black}{ \displaystyle f(x)=2x^2+4~~~~\Longrightarrow ~~~~f(x)=2(x0)^2+4 }\) And this is in the form of \(\color{black}{ \displaystyle f(x)=2(xh)^2+k }\) (with vertex \((h,k)\) )

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2If the leading coefficient is POSITIVE, then parabola opens UP, the vertex is the MINIMUM point (or the absolute MINIMUM). If the leading coefficient is NEGATIVE, then parabola opens DOWN, the vertex is the MAXIMUM point (or the absolute MAXIMUM).

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Yes, so the vertex is minimum.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2When the leading coefficient is negative.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2But, as I said, when leading coefficient is positive (in your case it is 2), then the vertex is minimum.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2And the range of the opening up parabola will start from the vertex, but has no restrictions on how large the output can be....

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Yes, that is exactly right.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Or, in interval notation \({\rm y} \in [4,+\infty)\)

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1we did not learn that yet.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2All that means is that the range goes from and including 4, and ends at positive infinity (meaning that it goes up forever endlessly).

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2don't want to throw in confusion.... in any case you are right y\(\le\)4.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Any questions about what we have done?

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1nop, thanks a lot really apreciate, really needed it, i have a quiz tmrw.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Good luck on the quiz:)

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1thanks @imqwerty for seeing my question.
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