Question

A quadratic function f(x) has two zeros at (0, 0) and (4, 0) . The extreme value of f(x) is a maximum at (2, 12). Which function among the following fits all the properties above?

Answer 1

which are teh choices?

Answer 2

f (x) = −3x (x − 4)
f (x) = x (x + 4)
f (x) = 3x (x − 4)
f (x) = −x (x + 4)

Answer 3

so like a first step check what function has zeros of (0,0) and (4,0)
and the maxim at (2,12)

hope help you

Answer 4

Firslty, you should know that this will be a negative thing, because it has to go through the x axis, but also a maximum point at (2,12)

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
so like a first step check what function has zeros of (0,0) and (4,0)
and the maxim at (2,12)

hope help you
\(\color{#0cbb34}{\text{End of Quote}}\)
@AZ opinion pls - ty

Answer 6

wsp yall

Answer 7

I agree. Also you should know that for it to have a maximum, a < 0

Answer 8

so whts the answer

Answer 9

Here are your answer choices

f (x) = −3x (x − 4)
f (x) = x (x + 4)
f (x) = 3x (x − 4)
f (x) = −x (x + 4)

Can you plug in (4, 0) into each one and tell me for which answer choices that it makes it work out?

Answer 10

To show you what I mean, I'll do answer choice A

f(x) = -3x (x - 4)

Plug in (4, 0)
We get

0 = -3* (4) * (4 - 4)
0 =-3*4* 0
0 = 0

So answer choice A works

what other answer choices work and which ones will we have to eliminate?

Answer 11

thank you

Answer 12

we haven't completed it yet and I didn't say that was the answer

there's one more answer choice that has a solution for (4, 0)

we then need to figure out which one has the maximum at (2, 12)