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
IrinaK [193]
3 years ago
14

Express the function y = 2 x 2 + 8 x + 1 in vertex form.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

y = 2(x + 2)² - 7

Step-by-step explanation:

y = 2x² + 8x + 1

= 2x² + 8x + 8 - 8 + 1

= 2(x² + 4x + 4) - 8 + 1

= 2(x + 2)² - 7

You might be interested in
Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes is less than 18 minutes. Which inequal
leonid [27]

Answer:

18>x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The parent function f(x) = x2 is translated such that the function g(x) = –x2 + 6x – 5 represents the new function. What is true
kkurt [141]

Answer:

1. Translation 3 units to the right;

2. Reflection across the x-axis;

3. Translation 4 units up.

Step-by-step explanation:

First, rewrite the function g(x) in following way:

g(x)=-x^2+6x-5=-(x^2-6x)-5=-(x^2-6x+9-9)-5=-(x-3)^2+9-5=-(x-3)^2+4.

Apply such transformations:

1. Translate the graph of the parent function f(x) 3 units to the right to get the graph of the function f_1(x)=(x-3)^2.

2. Reflect the graph of the function f_1(x) across the x-axis to get the graph of the function f_2(x)=-(x-3)^2.

3. Translate the graph of the function f_2(x) 4 units up to get the graph of the function g(x)=-(x-3)^2+4.

8 0
4 years ago
Read 2 more answers
If |a+3|=4 which describes all possible values of a)​
Keith_Richards [23]

Answer:

1 and -1

Step-by-step explanation:

The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.  

5 0
4 years ago
Read 2 more answers
Write the reciprocal of 5 2/3 in lowest terms.
Margaret [11]

Answer:

  1. The reciprocal of 5 2/3 is 5×3=15+2
  2. =17/3 it's reciprocal is 3/17

6 0
3 years ago
Read 2 more answers
A biker cycles 9 miles in 2 3 of an hour.
Aloiza [94]

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

3 0
4 years ago
Read 2 more answers
Other questions:
  • 75.64 rounded to the nearest 10th
    10·2 answers
  • Which best describes how to determine the decimal number that is modeled? 7 of 100 parts have been shaded, and 7 hundredths is w
    6·1 answer
  • Help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzz
    7·1 answer
  • What is 52% of 25?
    15·2 answers
  • 2. $6000 is divided between two accounts, one paying 4% interest and the other paying 5% interest. At the end of one interest pe
    11·1 answer
  • What is 2 2/21 × 7/8 ??
    5·2 answers
  • Subtract 4 ounces from 5 pounds. 3 lb, 12oz. 3 lb, 8oz. 4 lb, 12oz. Or 5 lb, 6oz?
    5·2 answers
  • Rx1=r is what kind of property
    13·1 answer
  • An initial amount of $800 is invested in a compound savings account with an annual interest rate of 4.5%. Using the formula A+P(
    12·2 answers
  • A rectangular prism has a length of 4 1/2 centimeters, a width of 4 1/2 centimeters, and a height of 6 centimeters. Sally has a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!