Answer:
14. The correct option is 2.
13. The correct option is 4.
Step-by-step explanation:
14.
The given function is
[tex]f(x)=4|x|[/tex]
The function is non-negative for all values of x. So, the function opens in upward direction.
The function uis in the form of
[tex]f(x)=k|x|[/tex]
Where, a is vertical stretch factor or compress factor.
If k>1, then it represent vertical stretch and if 0<k<1, then it represent vertical compression.
Since the value of k is 4, therefore it represents vertical stretch and option 2 is correct.
13.
The given function is
[tex]y=x^3[/tex]
The traslate form of given function is
[tex]y=(x+a)^3+b[/tex]
Where, a represents the horizontal shift and b represents the vertical shift.
If a>0, then the graph shifts left side by a units and if a<0, then the graph shifts right side by a units.
If b>0, then the graph shifts upward by b units and if b<0, then the graph shifts downward by b units.
Since the graph shifts vertically 5 units down and horizontally 4 units left, therefore the value of a is 4 and value of b is -5. The required equation is
[tex]y=(x+4)^3-5[/tex]
Therefore option 4 is correct.
