Question

im terrible with graphs help me out...but explain it cuz im a math inclined typa person sooo.......idek just help i guess?

Answer 1

14. The correct option is 2.

13. The correct option is 4.

Explanation:

14.

The given function is

`f(x)=4|x|`

The function is non-negative for all values of x. So, the function opens in upward direction.

The function uis in the form of

`f(x)=k|x|`

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

`y=x^3`

The traslate form of given function is

`y=(x+a)^3+b`

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

`y=(x+4)^3-5`

Therefore option 4 is correct.