Question

Can you check my answer ?
Consider the following equation
y=-2x^2+x-9
Identify the leading coefficient in standard form

Answer 1

@jim_thompson5910 Can you help me please I will award medal ! Thanks :)

Answer 2

The polynomial is written in standard form with descending order of degree of each term.

Answer 3

The leading coefficient is the coefficient of the first term.

Answer 4

So it would be =2x^2

Answer 5

No. That is the leading term (but you are missing the negative sign on the 2.)
The coefficient is just the number that multiplies the variable.
The first term in standard form is -2x^2.
The leading coefficient is simply -2.

Answer 6

Okay thank you there is a part 2 for this question it says WHat end behavior does this curve exhibit ?

Answer 7

That means as x gets larger approaching positive infinity, and as x get smaller approaching negative infinity, what will the graph of the function look like?

Answer 8

These are my options :
1. Falls on both sides.2. Unable to determine.3. Falls on the left and rises on the right.4. Rises on both sides.5. Rises on the left and falls on the right

Answer 9

I think its option 1

Answer 10

For this question you need this info:
1. Does the leading term have an even or odd exponent?
2. Is the leading coefficient positive or negative?

Answer 11

1 . even
2. negative

Answer 12

Right?

Answer 13

Correct.
With an even exponent of the leading term, the graph either rises on both sides or falls on both sides.
With an even exponent of the leading coefficient AND with a positive leading coefficient, the graph rises at both ends.

Answer 14

But that's not what you have. You have an even leading degree, and a negative leading coefficient, so the graph falls on both ends.

Answer 15

Option 1 is correct. You got it right.

Answer 16

Okay so the answer is option 1

Answer 17

Yes.

Answer 18

Thank you ! I have a few more questions can you help ?