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
Tasya [4]
2 years ago
9

How are the coordinates of the extreme value and the equation from part B in the form y=(x-h)^2-c related.

Mathematics
1 answer:
True [87]2 years ago
4 0

The extreme value of y = (x - h)² - c is the vertex of the equation.

<h3>What are extreme values of a function?</h3>

The extreme values of a function are either the maximum or minimum values of the function.

<h3>The equation of a parabola in vertex form</h3>

The equation of a parabola in vertex form with vertex (h', k) is given by

y = a(x - h')² + k and its extreme values are

  • if a > 0  (h', k) is a minimum point and
  • if a < 0 (h', k) is a maximum point.

Since y = (x - h)² - c is the equation of a parabola in vertex form, comparing with y = a(x - h')² + k,

  • h = h'
  • -c = k and
  • a = 1.

So, the cooordinates of the vertex of y = (x - h)² - c is (h, -c).

Now, since a = 1 > 0, (h, -c) is a minimum point.

So, the extreme value of y = (x - h)² - c is the vertex of the equation.

Learn more about extreme value of a function here:

brainly.com/question/13464558

#SPJ1

You might be interested in
Pls help for brainlist
snow_tiger [21]

Answer: 7/20

Step-by-step explanation:

3/4 - 2/5

= 3x5/4x5 - 2x4/5x4

=15/20 - 8/20

= 7/20

Hope it helped u,

pls mark as the brainliest

^_^

3 0
3 years ago
Read 2 more answers
The beverage orders from school cafeteria are shown in the graph. If 760 students purchase a beveragehow many of the students ch
kari74 [83]

according to the graph, 25% chose water, and

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190

5 0
3 years ago
What is the product?
Olenka [21]

The value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²

<h3>How to evaluate the product?</h3>

The expression is given as:

(-2x-9y²)(-4x-3)

Expand the expression

8x² + 6x + 27y² + 36xy²

Hence, the value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²

Read more about products at:

brainly.com/question/10873737

#SPJ1

3 0
2 years ago
Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible ratio table
Phantasy [73]

A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

<u>Where:</u>

  • y and x are the variables.
  • k represents the constant of proportionality.

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

3 0
1 year ago
the height of a tree was 12 feet. after a year, the tree's height increased 25%. what is the height of the tree after a year
Margaret [11]

Answer:

15 feet

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Share 12 equally among 3​
    12·2 answers
  • MATH!!!!!!!! Help please
    8·1 answer
  • Landon bought a trey of plants for 8.15 there were 16 plants in the tray if she only bought one plant about how much would it co
    10·1 answer
  • You can use a bar diagram to help you write the equation of a linear function.
    12·1 answer
  • An access code consists of of a letter followed by four digits. Any letter can be used, the first digit cannot be 0, and the las
    9·1 answer
  • Otto spent 3/4 of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he b
    13·2 answers
  • DISTANCE FORMULA PRACTICE 1-3
    8·1 answer
  • What is 431.1 divided by 45
    7·1 answer
  • The number of students treated per month has been recorded for the last 60 months. Which between 100 and 200 students were treat
    8·1 answer
  • Identify the bases and faces, and then the name of the given figure.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!