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
skelet666 [1.2K]
3 years ago
10

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

Mathematics
2 answers:
LekaFEV [45]3 years ago
5 0
For f(x) to be g(x), the equation f(x) would shift left one
swat323 years ago
4 0

Answer:

graph of g(x) will be translated 1 unit to the left

Step-by-step explanation:

g(x) = x^2 + 2x +1

LEts write the given g(x) in vertex form

WE apply completing the square method

WE take coefficient of x and then divide it by 2 and then square it

2 by 2= 1

1^2=1

add and subtract 1

g(x) = x^2 + 2x +1

g(x) =(x^2 + 2x +1)-1+1

now we factor  x^2+2x+1= (x+1)(x+1)

g(x) =(x+1)(x+1)-1+1

g(x) =(x+1)^2

Now we compare with the graph of f(x)= x^2

In g(x), 1 is added with x

So graph of g(x) will be translated 1 unit to the left

You might be interested in
Evaluate piecewise functions
Mama L [17]

6 is neither equal to 0 nor equal to 7, so the last "piece" of h(x) applies. Then

h(6) = 3•6 - 2 = 18 - 2 = 16

7 0
2 years ago
If function f is the parent exponential function , what is the equation of transformed function g in terms of function f?
julia-pushkina [17]

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

8 0
3 years ago
Pleaseeeeeeee help thank you
ycow [4]

Answer:

It would be selected 130 times.

Step-by-step explanation:

peach chew was selected 13 times out of 60, so 13/60 will be peach

multiply the amount by 600, 13/60 * 600 = 130

5 0
2 years ago
Read 2 more answers
The profit function, y, for selling x shirts is given by the equation y=-0.1x^2+10x. What is the maximum value of the profit, y?
Alex73 [517]
2 ways
1 calcluls
2. algebra

calculus, just take the deritivive and find wher it is 0
y=-0.2x+10
at x=50
sub 50 for x in original
y=250


algebra
for
y=a(x-h)²+k
(h,k) is vertex
k is maximum value


complete the square
y=(-0.1x²+10x)
y=-0.1(x²-100x)
take 1/2 of -100 and square it and add negative and positive inside
-100/2=-50, (-50)²=2500
y=-0.1(x²-100x+2500-2500)
factor perfect square
y=-0.1((x-50)²-2500)
exand
y=-0.1(x-50)²+250

vertex at (50,250)
producing 50 units yeilds a sale price of $250


max price is $250
8 0
3 years ago
Find the center and the radius of the circle given this equation:<br> 2<br> x + 4x + y ² -10y +20=0
NemiM [27]

Answer:

vertex: (5/6,5)

focus: (- 2/3, 5)

axis of symmetry: y = 5

directrix: x = 7/3

Step-by-step explanation:

use the vertex form to determine the values of a.h. and k and use these values to find the direction the parabola opnes, vertex, foucs, axis of symmetry, and directrix

5 0
2 years ago
Other questions:
  • Partial quotients of 3 divided by 225
    12·1 answer
  • I’ll give brainliest.
    9·1 answer
  • if you drop a tennis ball from the height of 100in and the rebound is 58in what is the height on the 10th bounce?
    13·1 answer
  • Which of the following number sentences is an example of the identity property of addition?
    10·1 answer
  • Select all that apply.
    5·1 answer
  • Please answer it in two minutes
    5·1 answer
  • What are cos &amp; sin?
    12·1 answer
  • 2.5(10x + 8)+3x simplified
    12·1 answer
  • HOW MANY nibbles ARE IN ONE kilobyte?
    12·1 answer
  • A book store is selling 4 books for $10 as parr of its clearance sale.Regina has $28 to spend.At this rate regina can purchase h
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!