Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).
Answer:
Part A: <u>Which point represents the origin? </u>
- The origin is the point with both zero coordinates: (0, 0)
Part B: <u>Starting from the origin, explain how to plot the following three points accurately (1,-1) (-1.1.25) (-2,3).</u>
Reference point is the origin for below.
- (1,-1) - go <u>right </u>by 1 unit and <u>down </u>by 1 unit, plot the point
- (-1.1.25)- go <u>left </u>by 1 unit and <u>up </u>by 1.25 or 1 and 1/4 units, plot the point
- (-2,3) - go <u>left </u>by 2 units and <u>up</u> by 3 units and plot the point
Answer:
Answer: l = 82.5
Step-by-step explanation:
11/2 x 15 = 82.5.
<span>y(1) = 0
y'(1) = e
y" = c1ex + c2e-x
y' = c1ex - c2e-x
for solving c1, 0 = c1e1 + c2e-1
this implies that c1 = - (c2/e2) and
to solve c2
e1 = (-c2e-2)e1 - c2e-1
e1 = (-2c2e-1)
c2= - (e1/2e-1) = - (e2/2)
c1 = - (c2/e2) = (e2/2e2)
Therefore y =(e2/2e2)ex - (e2/2)e-x</span>
Answer:
23
Step-by-step explanation: