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
lys-0071 [83]
1 year ago
15

Re-write the quadratic function below in Standard Form y=-5(x+1)²+7

Mathematics
2 answers:
Arturiano [62]1 year ago
7 0

Answer:

y = - 5x² - 10x + 2

Step-by-step explanation:

y = - 5(x + 1)² + 7 ← expand (x + 1)² using FOIL

  = - 5(x² + 2x + 1) + 7 ← distribute parenthesis by - 5

 = - 5x² - 10x - 5 + 7 ← collect like terms

 = -5x² - 10x + 2 ← in standard form

julsineya [31]1 year ago
3 0

Answer: y = -5x² - 10x + 2

Step-by-step explanation:

<u>Given quadratic function</u>

y = -5 (x + 1)² + 7

<u>Given requirement</u>

Quadratic Standard Form: y = ax² + bx + c

<u>Simplify the exponents</u>

y = -5 (x + 1) (x + 1) + 7

y = -5 (x² + x + x + 1) + 7

y = -5 (x² + 2x + 1) + 7

<u>Expand the parenthesis by distributive property</u>

y = (-5) · x² + (-5) · 2x + (-5) · 1 + 7

y = -5x² + (-10x) + (-5) + 7

y = -5x² - 10x - 5 + 7

<u>Combine like terms</u>

\Large\boxed{y=-5x^2-10x+2}

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in
A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght
never [62]

Answer: \frac{17}{2}m^2+m-5

Step-by-step explanation:

By definition, the perimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

If you solve for "l":

P-2w=2l\\\\l=\frac{P-2w}{2}

In this case, you know that the following expression represents  the perimeter of the rectangle:

19m^2+2m-10

And the width of that rectanle is represented wih this expression:

m^2

Therefore, based on the explained above, you can conclude that the lenght  of that rectangle is given  by:

\frac{19m^2+2m-10-2(m^2)}{2}

Finally, simplifying the expression, you get:

=\frac{17m^2+2m-10}{2}=\frac{17}{2}m^2+m-5

8 0
4 years ago
What’s the answer ??
labwork [276]
Pretty Sure Its B I had this question Too
4 0
4 years ago
Read 2 more answers
The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?
nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

D= 24

Now substitute the value of D in O=3D

O=3.24= 72

The owner is 72 years old.

5 0
3 years ago
How many ways can 5 paintings be lined up on a wall?
9966 [12]
Basically 3 : horizontally, diagonally, and vertically.  
4 0
4 years ago
Match the sentence to the vebal it contains.
Dmitrij [34]
I know you probably dont need this anymore but the answer is

1 = gerund

2= infinitive

3 = participle

hope i helped and good luck ;D
4 0
3 years ago
Read 2 more answers
Other questions:
  • 1/8 of pizza costs 2 dollars. In an hour, 6 1/4 pizzas were sold. How much money was made at the food booth in that hour
    7·1 answer
  • What is the probability of getting exactly 5 “heads” in 10 coin flips ?
    8·2 answers
  • I need help ASAP please!
    5·2 answers
  • 43 x 10^1=<br> What’s the answer for this ?
    5·1 answer
  • 4+-8<br> -14 + 30<br> -15 + 35<br> 11 + 9<br> --19 + 2<br> -14 + 17<br> 75 + -25
    8·2 answers
  • Last choice says a over b but can someone please help me I am so lost need help ASAP
    7·2 answers
  • Subtract.Add to check 735,249-575,388
    9·1 answer
  • Simplify: (–4) • (9) – (5) • (–2) <br> A)2 <br> B)–36 <br> C)–26 <br> D)82
    13·1 answer
  • Y-2x=1 does the equation describe a function<br>yes or no​
    9·2 answers
  • De'Jhan went to the movies during our snow days and watched all 8 Spider-Man movies. Each movie cost $11. How much did De'Jhan s
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!