Answer:
Option C.
Step-by-step explanation:
The given expression is
We need to find the factored form of the given expression.
The given expression can be rewritten as
It is clear that
is common.
Taking out common factors, we get
It is the factored form of the given expression.
Hence, the correct option is C.
Answer:
[Vertex form]
Step-by-step explanation:
Given function:

We need to find the vertex form which is.,

where
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have

First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.


Isolating
and
terms on one side.
Subtracting both sides by 15.


In order to make the right side a perfect square trinomial, we will take half of the co-efficient of
term, square it and add it both sides side.
square of half of the co-efficient of
term = 
Adding 36 to both sides.


Since
is a perfect square of
, so, we can write as:

Subtracting 21 to both sides:


Dividing both sides by -3.

[Vertex form]
The correct answer is the last option
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➷ Substitute the x and y values into the equation:
y = mx + c
'm' is the slope, which we know is 4
-10 = 4(3) + c
- 10 = 12 + c
c = -22
The equation is y = 4x -22
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