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
kati45 [8]
4 years ago
7

the\ function\ h\left(x\right)=\frac{1}{2}\left(x+3\right)^{2}+2.How\ is\ the\ graph\ of\ h\left(x\right)\ t\ r\ a\ nslated\ \ f

rom\ the\ parent\ graph\ of\ a\ quadratic\ function,\ f\left(x\right)=x^{2}

Mathematics
1 answer:
Feliz [49]4 years ago
8 0

The function h(x) is vertically stretched by a factor of \frac{1}{2} and is shifted 3 units to the left and shifted 2 units up.

Explanation:

The parent function is f(x)=x^{2}

The translated function is h(x)=\frac{1}{2}(x+3)^{2}+2

By using the function transformation rules, the translated function h(x) is stretched vertically by a factor of \frac{1}{2}

Also, from the function transformation rules, we know that,  $f(x+b)$ shifts the function b units to the left.

Thus, the translated function h(x) is shifted 3 units to the left.

By using the function transformation rules, we know that,  $f(x)+b$ shifts the function b units upward.

Thus, the translated function h(x) is shifted 2 units upwards.

Thus, the translated function h(x) is vertically stretched by a factor of \frac{1}{2} and is shifted 3 units to the left and shifted 2 units up.

You might be interested in
What is the sum of the geometric sequence 1,3,9... if there were 11 terms?
Delicious77 [7]

Answer:

88,573

Step-by-step explanation:

3 0
3 years ago
Find the slope of the line.
Verizon [17]

Answer:

Step-by-step explanation:

i dont know

7 0
3 years ago
Which number has the greatest value
aleksklad [387]

Answer:

See the explanation below

Step-by-step explanation:

Which number has the greatest value

From the given list of numbers

Option A has the greatest value

A 8.07 x 10^5

This is because it is raised to a positive number 5, and also the integer is the largest that is raised to a non-negative number/power

6 0
3 years ago
Maria owes her grandfather $2.75. She pays him $1.25. How much more money does Maria owe her grandfather
Aleksandr [31]

Answer:

150

Step-by-step explanation:

4 0
4 years ago
You pay 3.5% annual simple interest for 12 years on a loan, and you pay $1,512 in interest. How much is the principal?
Anika [276]
A = Pe^rt
Amount of interest paid = Principal*e^ (rate*time)
(The rate must be in decimal form)
3.15% / 100 = .0315

1,512 = P[e^(.0315*12)]
1,512 / e^(.0315*12) = P
1036.06 = P
$1036.06 was the Principal
** I left that value unrounded to the hundreds place because one doesn’t round with money. :)

Good luck!
4 0
3 years ago
Other questions:
  • Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data
    14·2 answers
  • 7+(-3)+(-5)-10<br>how do i simplify ​
    5·1 answer
  • . If x tan 45° sin 30° = cos 30° tan 30°, then x is equal
    13·1 answer
  • Two students went to the schools clinic with fevers Isabell had a temperature of 103.78 and Bryan had a temperature that was 2.3
    7·1 answer
  • Please help on 10 11 and 12
    7·1 answer
  • an 8 by 19 ft wall has three 4 by 5 ft windows.the area of the three windows is what percent of the area of the entire wall (inc
    12·1 answer
  • I need help with cramer's rule​
    9·1 answer
  • I need HELPPPPPP PLEASEEEEEE!!!!!!!!~!!!!!!
    5·1 answer
  • During an exploratory activity, a student measured the diameter and circumference of several circular objects. She recorded her
    7·2 answers
  • What is the rule of -3,18,-108,—,—,—
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!