The quadratic functions f(x) and g(x) are described as follows:

f(x) = −4x2 + 5

x g(x)
0 0
1 1
2 5
3 1
4 0

Which of the following statements best compares the maximum value of the 2 functions?
It is the same for both functions.
f(x) has a greater maximum value than g(x).
g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.

Question

The quadratic functions f(x) and g(x) are described as follows:

f(x) = −4x2 + 5


x	g(x)
0	0
1	1
2	5
3	1
4	0


Which of the following statements best compares the maximum value of the 2 functions?
 It is the same for both functions.
 f(x) has a greater maximum value than g(x).
 g(x) has a greater maximum value than f(x).
 The maximum values cannot be determined.

anonymous · Answer

@wio

anonymous · Answer

To find the max is to find the vertex. Do you know how to do that?

anonymous · Answer

yup -b/2(a)

anonymous · Answer

Ok, well in our first equation you know that b is zero, yes?

triciaal · Answer

minor correction
the vertex could be a minimum
the maximum is the highest y-value of the function

anonymous · Answer

yup

anonymous · Answer

I know this @triciaal  I am working my way to that

anonymous · Answer

$$
f(x)=−4x^2 + 5 = −4(x-0)^2 + 5
$$It is already in vertex form.

anonymous · Answer

@wio I know that it is in vertex form, but that is not the vertex. In order to find the maximum or minimum they have to find the vertex

triciaal · Answer

if you know that then you should write it correctly. What if I did not know better?

anonymous · Answer

(0,5) is the vertex right?

anonymous · Answer

im just not sure what to do with the table

anonymous · Answer

The  table is simple. When given a table the vertex is the one in the middle. So, (2,5) Now you should be able to answer

triciaal · Answer

when helpmeplease134 is not helping you then you will learn more

anonymous · Answer

shes helped me just fine. thank you for your concern

anonymous · Answer

@triciaal Please refrain from insulting my intellect that way. It upsets me that you would be so rude as to say I am not helping. I am required to explain the process to them... My apologies for doing it differently than you would. And do you understand how to use the table now @themightygabbs

anonymous · Answer

Yes thank you, Should it be g(x) has a greater maximum value than f(x) then?

anonymous · Answer

Yes! Good job!

anonymous · Answer

Ah thank you!

anonymous · Answer

No problem! Glad to help with any future questions too

anonymous · Answer

Ah thanks! That was my last question but you were really helpful!

anonymous · Answer

Thanks again!