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
sweet [91]
1 year ago
11

The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If g is obtained from f through

a sequence of transformations, find an equation for gWhat is the equation for g?

Mathematics
1 answer:
german1 year ago
3 0

The first thing we notice is that the function is reflected. So we can start by reflecting it with respect to the x-axis.

We do this by adding a negative sign in the function:

\begin{gathered} f_0(x)=x^2 \\ f_1(x)=-f_0(x)=-x^2 \end{gathered}

Now, we have the function reflected, but in the wrong position. We can track its position by the vertex. It was originally at (0,0) and remains at (0,0) after the reflection.

But the final function have its vertex at (-5,0), so we have to translate the function 5 units to the left. we do this by adding 5 to the x in the function:

f_2(x)=f_1(x+5)=-(x+5)^2

Now, to check if there isn't any dilatation, we can check on other point in the graph to see if it checks out.

In the blue graph, we see the point (-3,-4), so let's input x = -3 and see if it checks out:

f_2(-3)=-(-3+5)^2=-(2)^2=-4

We got y = -4, so it checks out.

Thus, the answer is:

g(x)=-(x+5)^2

You might be interested in
If an input is -9 what is the output for y = x(to the 2nd power) + 3?
Whitepunk [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
Subtract and simplify <br> 1/6m - (- 5/8m + 1/3)
ratelena [41]

Answer:

19/24m-1/3

Step-by-step explanation:

1/6m-(-5/8m+1/3)=1/6m+5/8m-1/3=4/24m+15/24m-1/3=19/24m-1/3

4 0
3 years ago
Cameron had 30 minutes to do a three problem quiz. He spent 8 3/4 minutes on question A and 5 1/2 minutes on question B. How muc
Delvig [45]
He has 15 and 3/4 minutes left over
3 0
2 years ago
Marco has drawn a line to represent the perpendicular cross-section of the triangular prism. Is he correct? Explain. triangular
evablogger [386]

Answer:

The correct option is;

Yes, the line should be perpendicular to one of the rectangular faces

Step-by-step explanation:

The given information are;

A triangular prism lying on a rectangular base and a line drawn along the slant height

A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces

Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).

8 0
3 years ago
Read 2 more answers
Convert standard form to slope<br><br> 11x-8y=-48
irina [24]

Answer:

8y=-11x-48

You have to subtract 11x bc the standard for is y=mx+b

5 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP! WILL REWARD BRAINLIEST TO BEST ANSWER WRITE DOWN INFORMATION. Create all four digit numbers that are divisible by 8
    10·1 answer
  • Fiona starts at the beginning of a hiking trail and walks 4/5 of a mile. She counts the mileage markers that are placed every 1/
    8·1 answer
  • PLEASE HELP! A) 9 B) 8.6 C) 26.3 D) 5.7
    10·1 answer
  • How do i find the slope to (-2,8),(10.-4)
    13·1 answer
  • Find the sum of the arithmetic series given a1=8,a14=99,n=14.
    13·1 answer
  • If 5^n x 5^3 = 5^6, then n is _____.<br><br> A) 18<br> B) 2<br> C) 3<br> D) 9
    15·2 answers
  • What it 12/14&lt;9=<br> I really need help on this :
    14·1 answer
  • A figure is cut into 15 equal pieces. Shade 2/3 of the figure.
    8·1 answer
  • A drawing of a sailboat was made useing a restangle and two right triangles, as shown. what is the area of the drawing f the sai
    13·2 answers
  • Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts fo
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!