Answer:
We proceed to use the following operations: (i) <em>Vertical translation downwards</em> (
), (ii) <em>Vertical compression</em> (
), (iii) <em>Vertical translation upwards</em> (
). The graph is presented below.
Step-by-step explanation:
To transform 
into 
, we apply the following steps:
(i) <em>Vertical translation downwards</em> ()
(1)
(ii) <em>Vertical compression</em> ()
(2)
(iii) <em>Vertical translation upwards</em> ()
Now, we proceed to transform the primitive expression:
Step 1
Step 2
Step 3
The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
<em>Thus,</em>
<em>as an inequality it is 8x + 20 ≥ 25.</em>
<em />
<em>Hope this helps :)</em>
-3(1+6x) = 14 - x
-3 -18x = 14 -x
-18x +x = 14 + 3
-17x = 17
x = -17/17
x = -1
Therefore x is equal to -1.
Answer:
A. y ≤ 1/2x + 2
Step-by-step explanation:
Well look at the graph,
It is a solid line with it shaded down,
meaning it is y ≤,
So we can cross out B. and D.
So the y intercept is 2, we know this because the y intercept is the point on the line that touches the y axis.
now the slope can be found by seeing how far away each points are from each other,
Hence, the answer is A. y ≤ 1/2x + 2
