Question

Let (-4,-2) be a point on the graph of y = f(x). Under the transformation y - 1-r) +2.

the point ( 4. 2) will be translated to what new point?
A. (4,-4)
В.(-4,4)
C. (4,0)
D. (-4,0)

Answer 1

The point (-4, -2) on the graph y = f(x) is translated to the point (-4, -4) under the transformation y = 3f(x) + 2.

Step-by-step explanation:

The given transformation is y = 3f(x) + 2. To find the new point, we substitute the x-coordinate of the given point (-4) into the equation to get:
y = 3f(-4) + 2

Since (-4, -2) is a point on the graph of y = f(x), the y-coordinate is equal to f(-4). Therefore, we can substitute -2 for f(-4) in the equation:

y = 3(-2) + 2

Simplifying:

y = -6 + 2
y = -4

So, the new point after the transformation is (-4, -4).

Complete Question:

Let (-4, -2) be a point on the graph of y = f(x). Under the transformation y = 3f(x) + 2, the point (-4, -2) will be translated to what point?

a. (-4,-4)

b. (-12,-4)

c. (-12,0)

d. (-4,0)

e. None of the preceding.