Answer:
The graph of given function is shown below.
Step-by-step explanation:
The parent natural logarithmic function is
The given function is
It means
.... (1)
The translation is defined as
.... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2) we get
It means the graph of parent function shifts 5 units up to get the graph of given function.
Table of values:
x y
0.25 3.614
0.5 4.307
1 5
2 5.693
Plot these points on a coordinate plane connect then by a free hand curve.
The graph of given function is shown below.
You know the total amount, 32.00, and the cost of each gallon, 1.60, so you can make an equation using x as the amount of gallons bought.
1.60x = 32.00
Now just divide 32.00 by 1.60
x= 32.00/1.60
x= 20
Answer:
$10.80
Step-by-step explanation:
I'm assuming that the $15.10 includes the $9.70 she got from the old picture.
$15.10-$9.70=$5.40
That means half of her weekly allowance is $5.40
If half of her weekly allowance is $5.40, then her entire weekly allowance is $5.40*2 = $10.80
Answer:
(2.5,10.5)
Step-by-step explanation:
Given that a ball is thrown verically upwards with an initial velocity. We know that the path is a trajectory as a parabola.
From graph we find that horizontal is in yards and vertical is in feet.
WE have to find the coordinates of A
When ball is thrown upward, acceleration due to gravity is -32 ft/s^2
Since height = s=+h0
we get h0 as initial height.
But without any calculation from the graph we find out these coordinates as
x coordinate = 2.5(since in the middle of 0 and 5)
y coordinate = 10.5(since in the middle of 9 and 12)
(2.5,10.5) is the coordinate of A
