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
salantis [7]
3 years ago
11

How to write y= 2x^2 + 8x +7 in standard (vertex) form

Mathematics
1 answer:
Anni [7]3 years ago
3 0
2x^2+8x+7= \\
2(x^2+4x)+7= \\
2(x^2+4x+4-4)+7= \\
2((x+2)^2-4)+7= \\
2(x+2)^2-8+7= \\
2(x+2)^2-1 \\ \\
\boxed{y=2(x+2)^2-1}
You might be interested in
Noam must share a cash prize equally among 4 winners. If each person receives $125, what is the amount of the prize
sertanlavr [38]

Answer:

c. 500

Step-by-step explanation:

125+125=250

250+125=375

375+125=500

5 0
2 years ago
Read 2 more answers
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
Read 2 more answers
Two numbers are in a ratio 2:3 and their sum is 35.find the numbers​
Marysya12 [62]

Answer:

14 and 21 is the answer

Step-by-step explanation:

Hope it is helpful for you

please follow me

and mark me as a brainest

6 0
3 years ago
Read 2 more answers
Which of the following is both a rational number and an integer
Simora [160]
Qoqqooqoqoqoqoqqqppppp
6 0
3 years ago
Lesson 5 Practice Problems
nasty-shy [4]

Answer:

Find out the how many pizzas are delivered to a customer who pays $80 .To proveAs It is not stated, but implied that all pizzas cost.

Step-by-step explanation:

brainliest please

8 0
2 years ago
Read 2 more answers
Other questions:
  • A mechanic charges $45 per hour and parts cost $125 write an expression for the total if the mechanic works h hours
    9·1 answer
  • How do I factor 5x²-17x+6?
    12·1 answer
  • gina decided to order some clothes from a catalog. she ordered 3 pairs of jeans at $39 dollars each, 4 t-shirts at 15 dollars ea
    7·1 answer
  • Which of the following represents an arithmetic sequence?
    14·1 answer
  • I need to understand properties so I can figure out my answers thank you
    6·1 answer
  • How many 8 oz glasses of water are in 3 liters?
    13·2 answers
  • Tristen is packing lunch boxes for the school trip. Each lunch box consists of 1 sandwich, 1 fruit, and 1 drink. Tristen can cho
    10·1 answer
  • How many terms are in this expression -x2 -10 + 9x -4x2
    6·2 answers
  • Help me i need it to pass
    13·1 answer
  • Please help thank you
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!