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
g100num [7]
2 years ago
5

Given the parent function f(x)=x^2 in red, write the equation for the transformed function g(x) in green.

Mathematics
1 answer:
Nataly_w [17]2 years ago
5 0

Answer:

g(x) = 2x² + 1

Step-by-step explanation:

The parabola got thinner, so to show that, you put a 2 <u><em>before</em></u> x²<em> </em>to show that the graph was <em>dilated </em>(or thinned) by a factor of <em>2 </em>(Note: this number can also be <em>negative</em>, so if the dilation factor is negative, it's okay). Since the parabola shifts up by <em>1</em>, you then add + 1<em> </em><em><u>after</u></em> x² to show the positive upward shift.

Your full equation would look like this: g(x) = 2x² + 1

Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.

You might be interested in
The results of a public opinion survey on raising the minimum wage are summarized in the two-way table. Which statement is TRUE
Makovka662 [10]

Answer:

More people over the age of 60 support an increase than any other group

About 73% of those over 60 support an increase.

26.6% of those between 41-60 support an increase.

50% of those between 21-40 support an increase.

200 people participated

8 0
3 years ago
Read 2 more answers
What is the x-intercept and the y-intercept of the graph of 2x+6y=18
Margaret [11]

x intercept is 10 and y intercept is 3

4 0
2 years ago
F(x)=x2-x+2;f(1) ???
zheka24 [161]
I think it is...
F(1)=1(2)-1+2 which equals -1 
I'm not sure tho 
6 0
3 years ago
Read 2 more answers
What is the equation of the line perpendicular to 6x-2y=3
andriy [413]

An answer to this would be y=- 1 over 3 x

3 0
3 years ago
How are the points at each vertex of a triangle labeled?
Marat540 [252]

Answer:

t is common practise to label the vertices of a triangle with capital letters

3 0
3 years ago
Other questions:
  • Solve for x.<br><br> x2 - 49 = 0<br> A) 0 <br> B) ±49 <br> C) ±49i <br> D) ±7
    9·2 answers
  • Drinks 1 pint of 2% 1 quart of 1 cup of 1 quart of
    8·1 answer
  • Simplify fully:<br> 4d² - 6d² + 5d²<br><br> and<br><br> 7x + 5y - 3x - 8y
    14·1 answer
  • If you could please help:)
    7·2 answers
  • What is the quotient when 2x3 + x + 3 is divided by x + 1?
    7·1 answer
  • Due to fire laws no more than 720 people may attend a performance at metro auditorium. the balcony holds 120 people. there are 3
    11·2 answers
  • a blacked-out traffic light should be treated the same as a ... A. YIELD sign B. STOP sign C. DO NOT ENTER sign D. yellow traffi
    5·1 answer
  • G(x) = -x^2/4 +7<br> What is the average rate of change of g over the interval [-2, 4]?
    10·2 answers
  • Plz help with this question!
    13·1 answer
  • ASAP HW HELP<br> if you don’t know answer don’t even comment
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!