1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andreyy89
3 years ago
7

The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x)= 2^x. Det

ermine the size of shift from function f to function g. Then plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function g. Table x 0 1 2 3 4 g(x) -11 -10 -8 -4 4
Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

You might be interested in
PLZ HELP I WILL MARK BRAINLIEST
Alekssandra [29.7K]

Answer:

Image wont load can you explain the problem to me through comments pls?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Urgent help! This is very important please help me fast! How do you do: Expand & simplify:(x 4)(x 2)
ahrayia [7]
So the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)
4 0
3 years ago
What number should be added to both sides of the equation to complete the square?<br> x² - 6x=5
Neko [114]

Answer:

x= ±√14+3

Step-by-step explanation:

.......................................................................................

8 0
3 years ago
Read 2 more answers
A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,
8_murik_8 [283]

Answer:

f(x) = -6x +120

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

y = mx + b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

m=\frac{y_2-y_1}{x_2-x_1}   and b=y_1-mx_1

In this case: (x_1, y_1) = (5, 90) and (x_2, y_2) = (10, 60)

Then:

m=\frac{60-90}{10-5}

m=-6

And

b=90-(-6)(5)

b=120

Finally the function that shows the number of patients seen each week at the clinic is:

f(x) = -6x +120

7 0
3 years ago
Read 2 more answers
Complete the similarity for the two triangles shown. <br><br> Triangle ABC
gizmo_the_mogwai [7]

Answer:

triangle EFD

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Find the value of 56+9-(18÷6)×2 and show your work
    6·2 answers
  • What is the difference between a function and a relation​
    13·1 answer
  • Tyler ate x fruit snacks, and Han ateless than that. Write an equation to represent the relationship between the number Tyler at
    5·1 answer
  • If the temperature outside is 60 degrees at 6 pm and then drops by 15% at 10 pm, what is the temperature at 10 pm?
    15·1 answer
  • Solve the following equation algebraically
    10·1 answer
  • Please help me find the value of x= thanks :)
    9·1 answer
  • Y - 4= 7(x - 6)<br> x-intercept<br> y-intercept
    15·1 answer
  • Plz help!! Select the correct answer from each drop-down menu.
    9·1 answer
  • The average American man consumes 9.7 grams of sodium each day. Suppose that the sodium consumption of American men is normally
    10·1 answer
  • Two and one-third times two and three-fourths.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!