Question

PLEASE HELP!!!

Answer 1

What would you like to know?

Answer 2

i dont know how to solve the equation because theres a fraction. @jasonjohnson86

Answer 3

\[f(x) = -\frac{ 1 }{ 2 } x² - 2x -3\]

you could write it as

\[f(x) = -\frac{ x² }{ 2 } - 2x -3\]

or

\[f(x) = -0.5 x² - 2x -3\]

Does that help?

Answer 4

Do you need to calculate where the maximum is and the zero points?

Answer 5

If you divide by a fraction then you multiply by the reverted fraction

So the top is at
\[x = \frac{ -b }{ 2a}\]
right?

so, fill them in a = -1/2 , and b = -2

Answer 6

multiplying by a half
is like
dividing by 2

Answer 7

the 2 should not have negative

Answer 8

so the answer would be -1?? @abtster

Answer 9

i mean my symmetry is -1??

Answer 10

sorry, I was distracted

the - is like multiplying by -1
-1*-1 = 0
right?

Answer 11

im talking about the b=-2

Answer 12

how much is two halves?
1 right?
So
2a = 2*(-1/2) = -1 indeed!
x = -b/2a = (-1*-1*2)/(-1) =

Answer 13

@abtster -1*-1=1

Answer 14

not 0....

Answer 15

yeh, sorry, thatś what I meant

Answer 16

https://www.desmos.com/calculator/3zdbik0r6e

Answer 17

x = -b/2a = (-1*-1*2)/(-1) = (1*2)/(-1)

Answer 18

so 1 is my axis symmetry?? @TheSmartOne

Answer 19

dividing by -1 is the same as multiplying by it
x = =b/2a = -2
yes, thats your axis and where the top is

Answer 20

Vertex=(x,y)
\[x=-\frac{ b }{ 2a}\]
\[y=f(-\frac{ b }{ 2a })\]

Answer 21

Now you probably wont the zero points

Answer 22

@TheSmartOne how come my axis of symmetry is on the -2??

Answer 23

\[x=\frac{ -(-2) }{ 2\times \frac{ -1 }{ 2 } }=\frac{ 2 }{ -1 }=-2\]

Answer 24

We are calculating the vertex not the axis of symmetry...

Answer 25

@TheSmartOne did you use the formula -b/2a to get -2??

Answer 26

Now to find y we plug back in -2
\[f(x) = -\frac{ 1 }{ 2 } (-2)² - 2(-2) -3\]
\[f(x)=-2+4-3\]

Answer 27

you forgot to square the -2

Answer 28

I squared it and got 4 and that divided by -2 =-2

Answer 29

@clamin Yes I did use the formula to get -2..

Answer 30

So yea continue on -2+4-3=-1
So the vertex is (-2,-1)

Answer 31

@clamin

Answer 32

The problem was how to deal with fractions
I think Clamin can do deal with it now