The +k part of the function takes the original function and translates it straight up k units. It's as simple as that. If your function is the line f(x) = 3x, then the function f(x) = 3x + 4 moves that first function up 4 units.
Answer:
The coordinates of the image of vertex P after reflection is (-7, 4)
Step-by-step explanation:
Given that we are to reflect the point P across the x-axis, we have;
Reflection of a point across the x-axis gives;
When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged such that (x, y) becomes (x, -y)
Therefore, given that the point P = (-7, -4), we have;
Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 Linear pair
∠4 + ∠5 +∠ 3 = 180 form straight line
∠1 + ∠2 = ∠4 + ∠5 + ∠3 from statement 1 and 2
∠3 +∠2 = ∠4 + ∠5 + ∠3 ∠1 and ∠3 are vertically opposite angles.
∠2 = ∠4 + ∠5 Proved