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
Advocard [28]
3 years ago
13

What is the vertex form, f(x) = a(x - h)2-k, for a parabola that passes through the point (2,8) and has (1,0) as its

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

Answer:

Step-by-step explanation:

hello :

f(x) = a(x - h)²-k   ....vertex form  when the vertex is : (h,k)

h=1  and  k=0   so : f(x) = a(x-1)²

a parabola that passes through the point (2,8) : f(2)=8

a(2-1)² =8

a= 8

f(x) = 8(x-1)²=  8(x²-2x+1)

f(x) 8x²-16x+8   .....standard form

You might be interested in
OK this is another question which I need help on please please help if you can. CAUSED ME MUCH DISTRESS
r-ruslan [8.4K]

Answer:

15 = 2x - 3y

Step-by-step explanation:

We have the two points P1(3,-3) and P2(9,1).

First, calculate the slope between those points:

slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}

Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):

(3,-3)

---> (2, -3 - (2/3)) = (2,-3 2/3)

---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)

---> (0, (-4 1/3) - 2/3) = (0,-5)

This tells us, that our line intersects the y-axis at (0,-5).

The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.

In our case: f(x) = y = (2/3)x -5.

To get it into the correct form, we simply subtract y from both sides and get:

0 = (2/3)x - y - 5

To get only integers just multiply everything with 3 and add 15 and get:

15 = 2x - 3y, which fulfils the form asked for in the problem.

3 0
3 years ago
Evaluate each expression If X equals six 4(x-5)
DochEvi [55]

Answer:

4

Step-by-step explanation:

Let us plug x in to the equation given that it equals 6.

4(6-5)=

4*1=

4

<em>Hope this helps! :)</em>

3 0
3 years ago
There are 26 students in Jenna's class. Jenna brought in 16 cupcakes. Which equation can be used to find the number of cupcakes
Olin [163]

Answer:

Step-by-step explanation:

16+n=26

26-16=n

4 0
3 years ago
Read 2 more answers
Evaluate the function f(x) = sec(x - pi/2) for x = 0.
Anvisha [2.4K]
\sec\left(0-\dfrac{\pi}{2}\right)=\sec\left(-\dfrac{\pi}{2}\right)=\dfrac{1}{\cos \left(-\dfrac{\pi}{2}\right)}=\dfrac{1}{0}

So, the function f(x) for x=0 is undefined.
5 0
3 years ago
Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the
dolphi86 [110]

Answer:

D. 4.5%               Hope this helps

3 0
4 years ago
Read 2 more answers
Other questions:
  • Mrs. Carrera had a coupon for 20% off one item at Best Buy. She bought a 42" flat-screen TV and saved $135. What was the regular
    8·1 answer
  • The sum of three conservative integers is -204. what is the largest integer?
    10·1 answer
  • Melinda will take 15 quizzes this semester. She would like to score a B or better on at least 90% of them. So far, she has gotte
    7·2 answers
  • Can anyone help?! im stuck on this question...
    6·1 answer
  • There are 5 rectangular flower gardens each measuring 18 feet by 15 feet in a rectangular city park measuring 80 feet by 140 fee
    15·1 answer
  • What is the answer i need help
    6·1 answer
  • The area of a triangle can be found based on the area of a _____. circle trapozoid parallelogram
    6·2 answers
  • What is the area of a regular hexagon with an apothem of 28m in length
    12·1 answer
  • Simplify the following expression by combining like terms
    12·1 answer
  • How many cups for raisins should the hikers have used if they had w cups of peanuts? 3 cups of peanuts? 5 cups of peanuts? Expla
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!