Question

In which function is x = 2 mapped to 32?
f (x) = Negative 3 x squared minus 4
g (x) = 4 (x + 3) squared minus 68
h (x) = 3 x
j (x) = 2x minus 62

Answer 1

Option b - $g(x)=4(x+3)^2-68$

Step-by-step explanation:

To find : In which function is x = 2 mapped to 32?

Solution :

To get the mapped function we substitute the value of x in all function,

a) $f(x)=-3x^2-4$

Put x=2,

$f(2)=-3(2)^2-4$

$f(2)=-12-4$

$f(2)=-16$

It is not mapped.

b) $g(x)=4(x+3)^2-68$

Put x=2,

$g(2)=4(2+3)^2-68$

$g(2)=100-68$

$g(2)=32$

It is mapped to 32.

c) $f(x)=3x$

Put x=2,

$f(2)=3(2)$

$f(2)=6$

It is not mapped.

d) $f(x)=2x-62$

Put x=2,

$f(2)=2(2)-62$

$f(2)=4-62$

$f(2)=-58$

It is not mapped.

Therefore, the function is $g(x)=4(x+3)^2-68$  option b is correct.