Answer:
Option c. Reflection across the x-axis and vertical stretch by a factor of 7
Step-by-step explanation:
If the graph of the function
represents the transformations made to the graph of
then, by definition:
If
then the graph is compressed vertically by a factor a.
If
then the graph is stretched vertically by a factor a.
If
then the graph is reflected on the x axis.
In this problem we have the function
and our paretn function is 
therefore it is true that
.
Therefore the graph of
is stretched vertically by a factor of 7 and is reflected on the x-axis
Finally the answer is Option c
Replace a with 4 and b with -12
3(4) + -12/4 + 4(4) = 16+-12/4+4*4 = 29
It would be: 15/4 = 3 3/4
In short, Your Answer would be 3 3/4
Hope this helps!
Answer:
(x+5)²(x²+5)
Step-by-step explanation:
Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25
On factorising we have:
x²+5x+5x+25
= x(x+5) +5(x+5
= (x+5)(x+5)
= (x+5)²
The LCM can be calculated as thus
| x²+5, (x+5)²
x+5| x²+5, (x+5)
x+5| x²+5, 1
x²+5| 1, 1
The factors of both equation are x+5 × x+5 × x²+5
The LCM will be the product of the three functions i.e
(x+5)²(x²+5)
This hives the required expression.