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
Fantom [35]
3 years ago
9

Describe the graph of the function. y = 9x2 + 18x – 6

Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0
The graph of the function y = 9x^2 + 18x - 6 is a parabola facing up with vertex at (-1, -5), x-intercepts at (-2.29, 0) and (0.29, 0) and y-intercept at (0, -4).
Lina20 [59]3 years ago
4 0

Answer: Roots: 0.3 and -2.3

              y-intercetpt (0,-6)

              vertex (-1,-15)              

Step-by-step explanation: it's a parabola.

As a = 9 and it is > 0, it is facing up.

To find the roots:

9x² + 18x - 6 = 0

a = 9; b = 18; c = -6

Δ = b² - 4ac = 18² - 4.9.(-6)

Δ = 324 + 216 = 540

√Δ = √540 = 23.24

x = -b <u>+</u> √Δ /2a = -18 <u>+</u> 23.24/18

x₁ = -18 + 23.24/18 = 0.3

x₂ = -18 - 23.24/18 = -2.3

So, it intercepts x (0.3;0) and (-2.3;0)

For the y-intercept → x = 0

9.0² + 18.0 - 6 = -6

So, it intercepts y on (0,-6)

For the vertex

xv = -b/2a = -18/18 = -1

yv = -Δ/4a = -540/36 = -15

So, the vertex is (-1,-15)

You might be interested in
PLEASE HELP MEEEEE!!
vovangra [49]
It appears you are doing well. You have already gotten the eighth answer! If you need any other help you can ask me.
7 0
3 years ago
Which function has the graph shown below? *
sergij07 [2.7K]

Answer:

C

Step-by-step explanation:

yeah-ya......... right?

7 0
3 years ago
1) Easton went to a concert with some
tatuchka [14]
Subtract the 15 from the 133
you get 118
divide 29.50 from the 118
you get 4
4 people went to the concert
7 0
3 years ago
Solve y^2+7y+12=0 by completing the square.​
kkurt [141]

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

8 0
3 years ago
Transformation of quadratic functions
Kitty [74]

Answer:

g(x) = a(x − h)2 + k, where a ≠ 0.

Step-by-step explanation:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0.

6 0
2 years ago
Other questions:
  • Subtract (17+4.5m+8k) - (7.5m-9+4K)
    12·2 answers
  • Lucy deposits $200 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the
    10·1 answer
  • If a cookie recipe that makes 2 dozen cookies calls for 2 1/4 cups of flour, how many cups of flour do you need to make 5 dozen
    12·1 answer
  • PLEASE HELP!!!‼️‼️‼️ I need help with question 14 a and b show your work please‼️
    15·1 answer
  • Mario has a coupon for 20% off his pizza. If the original price is $14 for the pizza, what is the discounted price
    6·1 answer
  • Cos() =<br> O A. V<br> B.<br> 173<br> 2<br> OC.<br> OD.<br> -3
    10·1 answer
  • Yo I need help INCLUDING EXPLAINING
    6·1 answer
  • The number of people using an older version of a spreadsheet program decreases at a rate that is proportional at any time to the
    15·1 answer
  • Which of the following are mutually exclusive events?
    10·1 answer
  • Quinn leaves her house at 10:00 am and runs 3 miles at a steady pace of 6 miles per
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!