Answer:
The slope of the line is: 3
Step-by-step explanation:
Given the points
(-3, -6) and (3, 12)
Determine the slope between (-3, -6) and (3, 12) using the formula
where
m is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
now substitute (x₁, y₁) = (-3, -6) and (x₂, y₂) = (3, 12) in the slope formula
Therefore, the slope of the line is: 3
Answer: First option
Step-by-step explanation:
By definition, the horizontal shift depends on the value of <em>h </em>and the vertical shift depends on the value of <em>k</em><u>.</u>
indicates that the function if shifted to the right <em>h </em> units.
indicates that the function if shifted to the left <em>h </em> units.
indicates that the function if shifted down <em>k </em> units.
indicates that the function if shifted up <em>k </em> units.
Then:
If <em>h </em>is positive, the graph will shift to the right.
If <em>k </em>is negative, the graph will shift down.
As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:
Where: