The answer will be: Y = -2/5x - 4
Slope intercept form: y= Mx+b
You find the slope (M) using: rise/run formula
You find (b) by looking at the y-intercept
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Plug each option into u then solve the equation and see if the answer matches -15.
Ex. -15 = 1 -4 (2)
-15 = 1 -8
-15 = -7
-15 does not equal -7 therefore it is false. Use Pemdas to solve.
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer: