Answer: y = x - 1
<u>Step-by-step explanation:</u>
Use the Point-Slope form: y - y₁ = m(x - x₁) where
Let (x₁, y₁) = (2, 1) and (x₂, y₂) = (-4, -5)
Point-Slope form: y - 1 = 1(x - 2)
y - 1 = x - 2 <em>distributed 1 to (x - 2)</em>
y = x - 1 <em>added 1 to both sides</em>
The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
<h3>How to determine the transformations</h3>The equation of the function is given as:
The parent function of the above equation is:
First, the function f(x) is reflected across the y-axis to give
Next, the function is shifted 2 units up.
So, we have:
Rewrite as:
Express f(-x) + 2 as g(x).
So, we have:
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
Read more about function transformation at: