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
Virty [35]
3 years ago
14

How is the vertex related to the maximum or minimum of a parabola?

Mathematics
2 answers:
USPshnik [31]3 years ago
7 0

Answer:

Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.

Step-by-step explanation:

Alinara [238K]3 years ago
3 0

The y coordinate of the vertex tells you the highest or lowest point, depending on whether the parabola opens downward or upward.

For something like y = -2(x-5)^2 + 10, it opens downward and has the vertex at (5,10). The highest point is (5,10) so the largest y value or output is y = 10. This is the maximum of the function. Note the value of 'a' is a = -2 which is negative. Also note the vertex form y = a(x-h)^2 + k with vertex (h,k).

For an example like y = 7(x+2)^2 - 8 we have a = 7 so the parabola opens upward meaning we'll have a minimum this time. The lowest point is the vertex (h,k) = (-2,-8). The minimum of the function is y = -8.

You might be interested in
Please help me on number 1
dolphi86 [110]
The answer is C. This is because -4 is less than 0, so there can't be any counters if the value is less than 0.
6 0
3 years ago
X + 2xy- y^2 = 2<br><br> find dy/dx using implicit differentiation
AleksandrR [38]

Answer:

hope that helps

Step-by-step explanation:

3x^2+2xy+y2=2

6x + 2y + 2xy' + 2yy' = 0

x=1 ==> y=-1

6(1) + 2(-1) + 2(1)y' + 2(-1)y' = 0

6 - 2 + 2y' - 2y' = 0

4 = 0

(e) undefined

The graph is an ellipse. At (1,-1) there is a vertical tangent

8 0
3 years ago
1.) To boost the local economy, a city business bureau provides discounts to area attraction for people attending conventions, h
andreev551 [17]
The business bureau surveys all the convention visitors who stay at the hotel nearest the convention hall.
5 0
3 years ago
0.5(-10 + k) I did help asp
lana66690 [7]

use distributive property

0.5 x -10 = -5

0.5 x k = 0.5k

0.5(-10 + k) = 0.5k -5

7 0
2 years ago
Read 2 more answers
PLEASE HELP ME WITH:
True [87]
B.  If square-foot is on the x-axis then we can substitute for x in the equation and solve, and when we do, we get 2473.302 which is is B when rounded. 
8 0
3 years ago
Read 2 more answers
Other questions:
  • (30 Points)The graph shows two lines, A and B. How many solutions are there for the pair of equations for lines A and B? Explain
    15·2 answers
  • Commutative<br> property of addition of 93+ (68+7)
    10·1 answer
  • How would you solve x+7/2 -10?
    12·2 answers
  • What is the slope of the line that passes through (2,3) and (6, - 4)?
    11·1 answer
  • Leo spent the same amount of time working on each of 5 different weight machines and then spent 2/3 of an hour on the treadmill.
    5·2 answers
  • Solve for f - <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7B5%7D%20%3D%20-8" id="TexFormula1" title="\frac{f}{5} = -8"
    11·2 answers
  • Which expressions are equivalent to <br> −f−5(2f-3)<br> Choose all answers that apply
    11·1 answer
  • 4. Simplify (2 – 3x)(3x2 - 2x -1).
    14·1 answer
  • HElP DUE IN 15 MIN<br><br> x =
    8·1 answer
  • What kind of shape is this ?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!