Answer:
(x,y) → (x+1 , y+1)
Step-by-step explanation:
Based on the image provided we can assume that every square in the graph represents 1 space. That being said we can create the following rule for this transformation
(x,y) → (x+1 , y+1)
This rule basically states that every point on the original shape needs to be moved 1 space to the right and 1 space upward in order for the translation to be perfect and output the final image shown in the graph.
Your answer would be y = (-1/4)x - 1
Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.
This gives us:
-3 = (-1/4 × 8) + c
-3 = -8/4 + c
-3 = -2 + c
c = -1
So therefore the final answer is y = (-1/4)x - 1
I hope this helps!
Answer:
Option A. y = 4x
Step-by-step explanation:
From the question given above, the following data were obtained:
X >> Y
3 >> 12
4 >> 16
5 >> 20
6 >> 24
7 >> 28
Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:
For Option A:
1. y = 4x
x = 3
y = 4 × 3
y = 12
2. y = 4x
x = 4
y = 4 × 4
y = 16
For Option B:
1. y = 4x + 12
x = 3
y = 4(3) + 12
y = 12 + 12
y = 24
2. y = 4x + 12
x = 4
y = 4(4) + 12
y = 16 + 12
y = 28
For Option C:
1. y = ¼ x
x = 3
y = ¼ × 3
y = ¾
2. y = ¼ x
x = 4
y = ¼ × 4
y = 1
For Option D:
1. y = ¼x + 12
x = 3
y = ¼(3) + 12
y = ¾ + 12
y = 51/4
2. y = ¼x + 12
x = 4
y = ¼(4) + 12
y = 1 + 12
y = 13
From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.
Answer: 33
Step-by-step explanation:
