Question

If the point (4,-1) is a point on the graph of f then f

Answer 1

B. thats all i know seems how you only gave so little info

Answer 2

If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)

1. $g(x) = \frac{1}{2} f(x)$ => (4,-1/2)
2. $g(x) = f(x-2)$ => (2,-1)
3. $g(x) = f(-x)$ => (-1,-1)
4. $g(x) = f(4x)$ => (1,4)
5. $g(x) = 4f(x)$ => (4,-4)
6. $g(x) = -f(x)$ => (-12,1)

Further explanation

1. Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2.  Therefore, the new point is  (4,-1/2)
2. Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2.  Therefore, the new point is (2,-1)
3. Making the input of the function negative will multiply every x-value by  1.  To get the new point, we will take the x-value (4) and multiply it by -1  to get. Therefore, the new point is (-1,-1)
4. Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1.  Therefore, the new point is  (1,4)
5. Multiplying the whole function by  4 increases all y-values by a factor of 4 , so the new y-value will be 4  times the original value (4) or -4.  Therefore, the new point is  (4,-4)
6. Multiplying the whole function by -1 also multiplies every y-value by -1,  so the new y-value will be  -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)

Learn more

1. Learn more about corresponding point  brainly.com/question/10218370
2. Learn more about point on the graph brainly.com/question/11297347
3. Learn more about the graph brainly.com/question/11534295

Answer details

Grade:  9

Subject:  mathematics

Chapter:  corresponding point

Keywords:   corresponding point, the graph, point on the graph