Question

I WILL GIVE MEDALS FOR THE CORRECT ANSWER
Functions 1 and 2 are shown below.
Function 1: f(x) = -4x2 + 6x + 3
Which function has a larger maximum? Type your answer as 1 or 2.

Answer 1

So the first function is written and the second function is the picture

Answer 2

You get a maximum(or minimum) when the slope of the equation is 0
One method is deriving your equation and matching it to 0
So let's do that here
f(x) = -4x2 + 6x + 3 (Original function)
We derive
f'(x)= 6-8x
Then we look when the slope(derivative) becomes 0
0 = 6-8x
Solve for x
x=6/8=3/4
Which means our maximum is in x = 3/4

So now we substitute x (where the maximum is) in our original equation and we will get our value for it's maximum
f(t)=-4(3/4)²+6(3/4)+3= ((21)/4)= 5. 25 this is the value of the maximum in first equation

So which one is bigger?

Answer 3

The second one is right?

Answer 4

The first function highest value is the one i gave you
The second function highest value is 3

If you didn't understand i'll be glad to help just say so

Answer 5

no that is ok thank you though