Let's solve :
therefore, the correct choice is :
The function g(x)=4(x+3)² - 68 is mapped to 32.
<h3>What is equation?</h3>
An equation is a mathematical expression in terms of one or more unknown variable.
Given are the following functions:
f(x)= - 3x² - 4
g(x)= 4(x+3)²-68
f(x)= 3x
f(x)= 2x-62
To get the mapped function, we substitute the value of x in all function,
a) f(x)=-3x²- 4
Put x=2,
f(2)= -3 (2)² - 4
f(2)= -16
It is not mapped.
b) g(x)=4(x+3)² - 68
Put x=2,
g(2) = 4(2+3)² - 68
g(x) =32
It is mapped to 32.
c) f(x)=3x
Put x=2,
f(2) = 3 x 2 =6
It is not mapped.
d) f(x)=2x - 62
Put x=2,
f(2) =2x2 -62
f(2) = -58
It is not mapped.
Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.
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The number of ways of she can do it is 504 ways
<h3>What is permutation?</h3>
The formula for permutation is given as:
Permutation = 
Where:
- n is the total number of objects = 9
- r is the number selected = 3
Substitute into the formula
Permutation = 
P( 9, 3) = 
P( 9, 3) = 
P( 9, 3) = 504 ways
Thus, the number of ways of she can do it is 504 ways
Learn more about permutation here:
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Answer:
Step-by-step explanation:
For an equation in the form of 
, the axis of symmetry is where 
. In this case, the axis of symmetry is the line
