Answer:
translation 2 units left
; reflection across the y-axis
Step-by-step explanation:
The y-coordinates of the points do not change from the pre-image to the image. This means there is no translation down (this would add or subtract to the y-coordinates) and no reflection across the x-axis (this would negate the y-coordinates).
This leaves us with a translation 2 units left and a reflection across the y-axis.
The translation 2 units left adds 2 to the x-coordinates, and the reflection across the y-axis negates the x-coordinates. If we add 2 first, the coordinates would be (-4+2, 6) = (-2, 6); (-2+2, 2) = (0, 2); and (-6+2, 2) = (-4, 2).
Negating each of these would give us (2, 6); (0, 2); and (4, 2). These are the desired image coordinates.
Answer:
The vertex form of the equation is 
.
Step-by-step explanation:
You will use the equation 
to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get 
.
Then, we substitute the point as our x and y to get 
(a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 
to get 
. Finally, divide by 9 on both sides to get 
.
Now, substitute your 
back into the equation to get y = 
.
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get 
.
Answer:
6500 lb
Step-by-step explanation:
The load limit of the bridge is ...
(5000 kg)(2.2 lb/kg) = 11,000 lb
The total of truck and trailer cannot exceed this value, so the trailer's weight cannot exceed ...
11,000 lb -4,500 lb = 6,500 lb . . . max trailer weight
