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
lyudmila [28]
3 years ago
10

For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

You might be interested in
Pythagorean theorem help me plzzzz<br> Z
erastovalidia [21]
X^2 = 12^2 + 10^2
x^2 = 144 + 100
x^2 = 244
x = sqrt(244)
x = 15.62
6 0
2 years ago
The button on Keith's shirt has a radius of 3 cm.
mestny [16]

Answer:

first find the diameter 3x2=6  

6 is the diameter multiply the diameter x 3.14

6x3.14=18.84  

Step-by-step explanation:

6 0
3 years ago
Y=x+2 x input -2 -1 0 1 2​
Alex_Xolod [135]
As you plug in those numbers for x (from left to right) y=
0
1
2
3
4
8 0
3 years ago
Can someone answer this it’s urgent
RideAnS [48]

Answer:

I don`t know about IQR but...

A:

Range = 50

Median = 105

Minimum = 80

Maximum = 130

B: 75%

C: 50%

D: 25%

E: 130%

Step-by-step explanation:

It izz wat it izzzz!!!

7 0
3 years ago
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. H
wolverine [178]

Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Step-by-step explanation:

Years since tree was planted (x) - - - - height (y)

2 - - - - 17

3 - - - - 25

5 - - - 42

6 - - - - 47

7 - - - 54

9 - - - 69

Using a regression calculator :

The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08

With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.

X is the independent variable which is used in calculating the value of y.

Predicted height when years since tree was planted(x) = 100

ŷ = 7.36X + 3.08

ŷ = 7.36(100) + 3.08

y = 736 + 3.08

y = 739.08

Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.

3 0
3 years ago
Other questions:
  • Which of the following algebraic expressions can be used to express the statement "one less than x squared?"
    7·2 answers
  • The water level of a river is 34 feet and is receding at a rate of 0.5 foot per day. Write an equation that represents the water
    7·1 answer
  • Please please please please help
    9·1 answer
  • Denote by SS the set of integers {−44,−43,...,−38−44,−43,...,−38}. Count the number of BIJECTIVE functions φ:S→Sφ:S→S such that
    6·1 answer
  • Solve for s 2-2s=3/4s+13
    15·1 answer
  • Please I need help The original price of a car was reduced by $3000. Its discount price is now 16000
    12·1 answer
  • Faces, edges and corners of star<br> pls fast <br><br><br><br> thankyou
    15·1 answer
  • Daisy purchased a food processor
    12·1 answer
  • There is a cube that is one unit long one unit wide and 1 unit deep what is the volume of this Cube
    13·1 answer
  • A pentagon has all equal sides.it’s perimeter is
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!