What are two different transformations that will transform f(x)=5x+3 into
g(x)=15x-12?
A) 1. A vertical shift 15 units down, followed by a horizontal compression by a factor of .
2. A vertical stretch by a factor of 3, followed by a vertical shift 21 units down.
B)1. A horizontal compression by a factor of , followed by a vertical shift 15 units down.
2. A vertical shift 21 units down, followed by a vertical stretch by a factor of 3.
C)1. A horizontal shift 15 units left, followed by a horizontal compression by a factor of .
2. A vertical stretch by a factor of 3, followed by a vertical shift 21 units down.
D)1. A horizontal stretch by a factor of 3, followed by a vertical shift 15 units down.
2. A vertical compression by a factor of , followed by a vertical shift 21 units down.
Where do I find the answer
t f is the answer lol
B) 1. A horizontal compression by a factor of 3, followed by a vertical shift 15 units down.
2. A vertical shift 21 units down, followed by a vertical stretch by a factor of 3.
In order to transform the function f(x)=5x+3 into g(x)=15x-12, we need to perform two different transformations. Let's look at each option and determine which transformations are required.
Option A states the following transformations:
1. A vertical shift 15 units down, followed by a horizontal compression by a factor of ?
2. A vertical stretch by a factor of 3, followed by a vertical shift 21 units down.
To transform the function f(x)=5x+3 into g(x)=15x-12, let's analyze the first transformation. A vertical shift 15 units down means we need to shift the graph downward by 15 units. However, there is no mention of a horizontal compression factor. Therefore, option A is not correct.
Option B states the following transformations:
1. A horizontal compression by a factor of ?, followed by a vertical shift 15 units down.
2. A vertical shift 21 units down, followed by a vertical stretch by a factor of 3.
To transform the function f(x)=5x+3 into g(x)=15x-12, let's analyze the first transformation. A horizontal compression by a factor of ? means we need to compress the graph horizontally. However, there is no specific factor mentioned. Therefore, option B is not correct.
Option C states the following transformations:
1. A horizontal shift 15 units left, followed by a horizontal compression by a factor of ?
2. A vertical stretch by a factor of 3, followed by a vertical shift 21 units down.
To transform the function f(x)=5x+3 into g(x)=15x-12, let's analyze the first transformation. A horizontal shift 15 units left means we need to shift the graph to the left by 15 units. A horizontal compression by a factor of ? is not specified. Therefore, option C is not correct.
Option D states the following transformations:
1. A horizontal stretch by a factor of 3, followed by a vertical shift 15 units down.
2. A vertical compression by a factor of ?, followed by a vertical shift 21 units down.
To transform the function f(x)=5x+3 into g(x)=15x-12, let's analyze the first transformation. A horizontal stretch by a factor of 3 means we need to stretch the graph horizontally by a factor of 3. There is no mention of a vertical compression. Additionally, a vertical shift 15 units down is required. The second transformation mentions a vertical compression by a factor of ?, but it does not specify the factor. Therefore, option D is not correct.
In conclusion, none of the given options contain the correct pair of transformations to transform f(x)=5x+3 into g(x)=15x-12.