Given a tabular function, create a new row to represent a horizontal shift.
Identify the input row or column.
Determine the magnitude of the shift.
Add the shift to the value in each input cell.
Shifting a tabular function horizontally
A function
is given in
[link] . Create a table for the function
2
4
6
8
1
3
7
11
The formula
tells us that the output values of
are the same as the output value of
when the input value is 3 less than the original value. For example, we know that
To get the same output from the function
we will need an input value that is 3
larger . We input a value that is 3 larger for
because the function takes 3 away before evaluating the function
We continue with the other values to create
[link] .
5
7
9
11
2
4
6
8
1
3
7
11
1
3
7
11
The result is that the function
has been shifted to the right by 3. Notice the output values for
remain the same as the output values for
but the corresponding input values,
have shifted to the right by 3. Specifically, 2 shifted to 5, 4 shifted to 7, 6 shifted to 9, and 8 shifted to 11.
Identifying a horizontal shift of a toolkit function
[link] represents a transformation of the toolkit function
Relate this new function
to
and then find a formula for
Notice that the graph is identical in shape to the
function, but the
x- values are shifted to the right 2 units. The vertex used to be at (0,0), but now the vertex is at (2,0). The graph is the basic quadratic function shifted 2 units to the right, so
Notice how we must input the value
to get the output value
the
x -values must be 2 units larger because of the shift to the right by 2 units. We can then use the definition of the
function to write a formula for
by evaluating
The function
gives the number of gallons of gas required to drive
miles. Interpret
and
can be interpreted as adding 10 to the output, gallons. This is the gas required to drive
miles, plus another 10 gallons of gas. The graph would indicate a vertical shift.
can be interpreted as adding 10 to the input, miles. So this is the number of gallons of gas required to drive 10 miles more than
miles. The graph would indicate a horizontal shift.
Given the function
graph the original function
and the transformation
on the same axes. Is this a horizontal or a vertical shift? Which way is the graph shifted and by how many units?
The graphs of
and
are shown below. The transformation is a horizontal shift. The function is shifted to the left by 2 units.
Now that we have two transformations, we can combine them together. Vertical shifts are outside changes that affect the output (
) axis values and shift the function up or down. Horizontal shifts are inside changes that affect the input (
) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down
and right or left.
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ma management ho
Amisha
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
belatari
Amisha
1st year ho
Amisha
nd u
Amisha
ahh
Amisha
kaha biratnagar
Amisha
ys
Amisha
kina k vo
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.