Answer:
The transformation that occurs from 
is compression by 3 units horizontally and shift of 4 units upwards.
Step-by-step explanation:
Given
Translation Rules:
If 
the function is compressed 
units horizontally.
If 
and 
the function stretches units horizontally.
If the function shifts units to the up.
If 
the function shifts units to the down.
Applying the rules to 
Step 1
[compressed 
units horizontally]
Step 2
∴
[shifts 4 nits up]
∴ The transformation that occurs from is compression by 3 units horizontally and shift of 4 units upwards.
Given:
To find:
The interval on which the given function is positive.
Solution:
We have,
Splitting the middle term, we get
Using zero product property, we get
-2 and 7 divide the number line is three interval.
Interval Signs of Result
(-∞,-2) (-)(-)(-) Negative
(-2,7) (-)(-)(+) Positive
(7,∞) (-)(+)(+) Negative
So, the function is positive for the interval (-2,7), i.e., -2 < x < 7.
Therefore, the correct option is D.
You can use models to help you divide by making the number of models as your divisor. For example let's say I am dividing 8 ÷ 2. So you would make 8 circles (doesn't have to be circle it can be whatever like squares) and then make groups of 2 until you run out of circles. Then how many groups there are is your answer. 8÷2=4. Hope I helped!
