Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)
m = = 3
We are given the y- intercept, that is c = 3
y = 3x + 3 ← equation of line
Shown in the attached figure
<h2>Explanation:</h2>The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:
So we need to use this function in order to obtain:
Recall that to translate a function vertically, we use the following rule:
And to translate a function horizontally, we use the following rule:
Since:
Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
<em />
<h2>Learn more:</h2>Transformations in real-world problems: brainly.com/question/1033817
#LearnWithBrainly
