Question

1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function f is:
f(x)= x^2
Use function notation to write g in terms of f.

Answer 1

Step-by-step explanation:

Math Elementary algebra

The function g is related to one of the parent functions g(x)=x^2 -3. Identify the parent...

Question:

The function

g

is related to one of the parent functions

g

(

x

)

=

x

2

−

3

. Identify the parent function

f

.

Parent Function:

The simplest function of any family of functions that reflects the definition of the entire family is known as the parent function of that family. Also, we know that for the functions of the form

f

(

x

)

=

a

x

2

+

b

x

+

c

, the parent function is

x

2

.

Answer 2

Writing g in terms of f would give  $g(x) = f(x) + 6$.

Given,

Function 'g' related to one of the parent functions

$g(x) = x^{2} + 6$

The parent function 'f' is:

$f(x) = x^{2}$

To Find,
Writing 'g' in terms of 'f' using function notation

Solution,

Let us consider $g(x) = x^{2} + 6$ as Equation 1.
And, let us assume $f(x) = x^{2}$ as Equation 2.

Since g(x) is to b written in terms of f(x),

Now, putting the value of Equation 2 in Equation 1, we get
                                         $= > g(x) = f(x) + 6$

Hence, the answer is  $g(x) = f(x) + 6$.