Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

Question

Triss [41]

3 years ago

6

Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

nits right.
What is the equation for g(x)?

g(x)=_____

Mathematics

2 answers:

Naily [24] · Answer 1 · 2022-01-21T14:39:04+03:00

So the equation for these types of equations is f(x) = a(x-h)+k with h being a horizontal translation, a being a stretch/compression and k being a vertical translation. So here if you want a stretch of 4 a would be four, g(x)=4(-3x-h)+k. Also, there is a horizontal translation so it would be positive 4 into the equation. Since there is no change in the y-axis there is no vertical translation resulting in g(x) = 4(-3x-4)

Crazy boy [7] · Answer 2 · 2022-01-21T16:43:26+03:00

Crazy boy [7]3 years ago

6 0

Answer:

−12(x−4)

Step-by-step explanation:

I took the test and this is correct.

4(−3x−4) = −12(x−4)

Let f(x)=−3x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u