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
djverab [1.8K]
3 years ago
11

(Algebra II) Standard Form of a Quadratic Function - I'm having trouble with two questions on this quiz? Please don't just give

answers, try to explain so I can understand.
1). What are the vertex and the axis of symmetry of the equation? y = –2 x 2 + 8 x – 18

5). The graph below models the acceleration of a car. Interpret the meaning of the vertex.

Mathematics
2 answers:
anastassius [24]3 years ago
6 0
1.
the x value of the vertex in form
ax^2+bx+c=y
is
-b/2a
so

-2x^2+8x-18
x value of vertex is
-8/(2*-2)=-8/-4=2

plug it in to get y value
-2(2)^2+8(2)-18
-2(4)+16-18
-8-2
-10

vertex is at (2,-10)
or you could complete the square to get into y=a(x-h)^2+k, where the vertex is (h,k)
so as follows
y=(-2x^2+8x)-18
y=-2(x^2-4x)-18
y=-2(x^2-4x+4-4)-18
y=-2((x-2)^2-4)-18
y=-2(x-2)^2+8-18
y=-2(x-2)^2-10
vertex is (2,-10)






5.
vertex is the time where the speed is the highest
at about t=10, the speed is at its max
Amanda [17]3 years ago
5 0
The vertex of the graph is the point where the line crosses its axis of symmetry.
The axis of symmetry is the line that you could fold the graph on and it would be symmetrical about that line. 
In your graph you could fold it on the x=10 line (which is a vertical line (goes up and down)) and the graph would be symmetrical. This is saying that you could technically fold this graph in HALF and it would be 100% symmetrical if you were to fold it on that line.
Therefore your vertex is the point on the graph where your line crosses the axis of symmetry which would be (10,something). 
Looking at your graph it is (10,60).
Let me know is you need me to explain further
You might be interested in
What is quantitative reasoning
AleksAgata [21]
Using math skills to answer a question
5 0
2 years ago
The formula for the area of a triangle is , where b is the length of the base and h is the height. Find the height of a triangle
Alexandra [31]
The area of a triangle is A= 1/2bh. Plugging in the values you know, 30= 1/2*12*h.

Solving for h,

30= 1/2*12*h

30= 6h

h=5

The height of the triangle is 5 units.
3 0
3 years ago
If one minute on the clock =6 degrees 12 minutes =
Minchanka [31]
72° since it’s 6 degrees per minute you can do 6x12 and that will get you 72°
5 0
3 years ago
Read 2 more answers
Help please and show the steps! thank you!​
san4es73 [151]

Answer:

#1.  x = -1

Answer = 8

#2. x = 1/5

Answer = 344/25

#3. x = 14

Answer =  13328

Step-by-step explanation:

#1. a. plug in -1

f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14

b. Solve the exponents.

(5(-1)^3)

(5x-1)

(-5) - (2(-1)^2) - (-1) + 14

(2(-1)^2)

(2x1)

(-5) - (2) - (-1) +14

c. simplify.

(-5) - (2) + 1 + 14

-7 + 15

8

#2.

f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14

(5(1/5)^3)

(5 x 1/125)

(1/25) - (2(1/5)^2)

(2 x 1/25)

(2/25)

(1/25) - (2/25) - (1/5) +14

(-1/25) - (1/5) +14

Note: (1/5) turns into (5/25) so it can be subtracted.

-6/25 + 14

Note: 14 turns into 350/25 so it can be added.

350/25 - 6/25 = 344/25

#3.

f(14)= (5(14)^3) - (2(14)^2 - (14) + 14

Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.

f(14)= (5(14)^3) - (2(14)^2)

( 5 (14^3))

(5 x  2744)

(13720) - (2(14^2))

(2 (14^2))

(2x196)

392

(13720) - 392

13328

Good Luck!

3 0
3 years ago
If you guys want me to join y’all’s class in like zoom then tell me your class id and password.
sammy [17]

Answer:

You cant join mine. Mine has strict rules and c rap sign up with a email and stuff.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A mathematical phrase represented by numbers, variables, and operations is a(n)
    5·1 answer
  • ((Use the graph shown below to fill in the blank.))
    7·2 answers
  • Three friends pay $26.25 to see a movie how much did each ticket cost
    5·2 answers
  • Find the discriminant of each quadratic equation then state the number and type of solutions
    13·1 answer
  • Help please I don’t understand
    6·2 answers
  • Lynn has a watering can that holds 8 cups of water. How many cups of water will 13 plants get
    13·1 answer
  • You roll a fair 6 sided die. what is p (roll less than 4)
    10·1 answer
  • Please help,Thanks;)
    11·1 answer
  • Dx-y+ab=z solve for x
    13·1 answer
  • Find the median of the data.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!