Answer:
The complete table is as follows:
x y
1 7
4 13
5 15
10 25
Step-by-step explanation:
Given the function
Given the table
x y
1 blank
4 blank
5 blank
10 blank
Substitute x = 1 in the function
y = 2x+5
y = 2(1)+5 = 2+5 = 7
so, when x = 1, y = 7 i.e. (1, 7) is the point on the table
Substitute x = 4 in the function
y = 2x+5
y = 2(4)+5 = 8+5 = 13
so, when x = 4, y = 13 i.e. (4, 13) is the point on the table
Substitute x = 5 in the function
y = 2x+5
y = 2(5)+5 = 10+5 = 15
so, when x = 5, y = 15 i.e. (5, 15) is the point on the table
Substitute x = 10 in the function
y = 2x+5
y = 2(10)+5 = 20+5 = 25
so, when x = 10, y = 25 i.e. (10, 25) is the point on the table
Therefore, the complete table is as follows:
x y
1 7
4 13
5 15
10 25
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)