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
erastova [34]
3 years ago
6

F(x)=2x^2+2x-4 find vertex

Mathematics
1 answer:
8090 [49]3 years ago
4 0
A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2

"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)

Source:
http://www.1728.org/quadr3.htm


You might be interested in
Can someone help me plss! ?
Ann [662]
Sry but that’s too much which one would you like help on
5 0
3 years ago
When Justin goes to work, he drives at an average speed of 60 miles per hour. It takes about 1 hour and 30
dexar [7]

Answer:

$13.14

Step-by-step explanation:

60 mi/1 hour = x mi/1.5 hours

x = 90 mi to drive to work

25 mi/1 gallon = 90 mi/y gallons

y = 3.6 gallons to get to work

$3.65/1 gallon = $z/3.6 gallons

z = $13.14

6 0
3 years ago
Given a non-zero rational number, a, and an irrational number, b, what can be said about the product of a and b?
laiz [17]

Answer:

The product of a non-zero rational number and an irrational number is irrational.

7 0
2 years ago
25. Ava found that 5 cars passed her house in 10 minutes. Which of the following is a unit rate per hour for this situation? A 1
Nata [24]

Answer:

B. 30 cars per hour

If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour

hope you got it xx

3 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!
topjm [15]
Ah yes, good ol’ Pythagorean’s theorem.

The hypotenuse is the opposite of the 90 degree angle, the longest side of the triangle.

The legs are opposite of the acute angles

Formula: a^2 + b^2 = c^2

2:

Let’s plug in some values

(6)^2 + (3)^2 = c^2

C = 6.7

The side will be 6.7 units

3)

Let’s plug in some values

(13.3)^2 = (9.7)^2 + (b)^2

(13.3)^2 - (9.7)^2 = b^2

176.89 - 94.09 = b^2

b = 9.1

The side will be 9.1 units
3 0
2 years ago
Other questions:
  • Solve for x in simplest form. <br> 1 = (2/3) (10x-15)
    12·1 answer
  • Q2 how to find the nearest minute?? Methodologically.
    6·1 answer
  • The art class is making wind chimes out of tin cans. Each can is 5 inches tall with radius of 2 inches. The students have to pai
    6·2 answers
  • Help me figure this out noww
    15·1 answer
  • QUESTION21 pointssave AnswerThe perimeter of a rectangle is 136 ft. The ratio of its length to its width is g 8, What are the di
    9·2 answers
  • Solve the equation -9x+1=-x+17​
    7·2 answers
  • 1) Mister Smith wants to put a small fence around his garden. A store sells three feet sections of fence at cost of $5.49 per se
    5·1 answer
  • Describe the pattern. Then find the next two terms of the sequence. <br><br> 4.5, 9, 18, 36
    8·2 answers
  • Which equation has infinitely many solutions?
    6·1 answer
  • -8x+4 less than or equal to 36
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!