Answer: A vertical stretch of 4 and a translation of -2 units in the x-direction.
Step-by-step explanation:
Changes of the parent function can be written, in this case as <em>a</em>f(x)(x - <em>k</em>) where <em>a</em> is the stretch factor and <em>k</em> is the movement left or right on the x-axis.
In this case, a = 4 and k = 2. Since the k is negative, the function will be moved -2 units on the x-axis.
<em>Learn more about </em><em>transformations of a parent function</em><em> here:</em>
<em>brainly.com/question/13822715</em>
Answer:
The lines blue and green are perpendicular
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
The formula to calculate the slope between two points is equal to
step 1
Find the slope of the blue line
we have the points
(-1,-3) and (0,3)
substitute
step 2
Find the slope of the red line
we have the points
(3,-3) and (4,2)
substitute
step 3
Find the slope of the green line
we have the points
(-4,-1) and (2,-2)
substitute
step 4
Compare the slopes
Blue line ---->
Red line ----.
Green line --->
so
The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)
therefore
The lines blue and green are perpendicular
Absolute value makes it positive
answe is 27
the answer is B
It will be 14 we calculated