The point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m - slope
(x₁, y₁) - point
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-2, 7) and (1, 1). Substitute:
![m=\dfrac{1-7}{1-(-2)}=\dfrac{-6}{3}=-2](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1-7%7D%7B1-%28-2%29%7D%3D%5Cdfrac%7B-6%7D%7B3%7D%3D-2)
<em>point-slope form</em>
<em> slope-intercept form</em>
<em>standard form</em>
The axis of symmetry of g(x) is 2 units right side from the origin then the function is
. Then the correct option is A.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
The function f(x) is
.
The axis of symmetry of f(x) is left side by 3 units.
The axis of symmetry of g(x) is 5 units to the right of f(x).
Then the axis of symmetry of g(x) is 2 units right side from the origin.
Then the g(x) will be
![\rm g(x) = (x - 2)^2 + k](https://tex.z-dn.net/?f=%5Crm%20g%28x%29%20%3D%20%28x%20-%202%29%5E2%20%2B%20k)
Thus, the correct option is A.
More about the function link is given below.
brainly.com/question/14674614