Match each function formula with the corresponding transformation of the parent function y=-x2-1. reflected across the y-axis translated right by 1 unit translated down by 1 unit translated up by 1 unit reflected across the x-axis translated left by 1 unit 1. y=-x2-1 2. y=-(x - 1)2 - 1 3. y= x2 +1 4. y=-x2 5. y=-(x+ 1)2 - 1 6. y=-x2 - 2

Since, when a function f(x) is reflected across x-axis then resultant function is -f(x), and reflected across y-axis then resultant function is f(-x),

Also, In translation of f(x),

If the transformed function is,

g(x) = f(x+a)

If a is positive then function is shifted a unit left,

If a is negative then function is shifted a unit right,

While, if transformed function is,

g(x) = f(x) + a

If a is positive then function is shifted a unit up,

If a is negative then function is shifted a unit right,

Here, the given parent function is,

Hence, by the above explanation we can match the unction formula with the corresponding transformation, shown below,

1.  : Reflected across the y-axis

2.  : Translated right by 1 unit

3. : Reflected across the x-axis

4.  : Translated up by 1 unit

5.  : Translated left by 1 unit

6.  : Translated down by 1 unit

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt