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
You have found a home that you are interested in purchasing. Instead of a conventional loan, you agree to pay the premium for th
hodyreva [135]

Answer:

a.

$6,250

Step-by-step explanation:

Finances 95% of the loan.

So you have to pay 100% - 95% = 5% of the loan.

The amount of the home is listed at $125,000.

You have to pay 5% of this. So

0.05*125000 = $6,250

The answer is given by option A.

5 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
drek231 [11]

Answer:

C

Step-by-step explanation:

The line of best fit is a linear function that is closest to all the points and shows the trend in the data. Since the data is going up ultimately, the slope of the line will be positive. Only B and C are options.

To find the best fit, draw a line through the center of the most points. This line will have as its y-intercept a value around 12 and a gentle slope. This means the answer choice is C.

3 0
3 years ago
How do I simply this, thanks!
stepan [7]
(-a^3b^2*-a^-2b^-3)^-2/2a^2b^-3 = a^4b^9/2a^8b^4 =b^5/2a^4 so your answer is b^5/2a^4
7 0
3 years ago
Estela and Gavin make a poster together. Estela asks Gavin to draw a quadrilateral with a 45° angle between side lengths of 5 in
Aleks [24]
Ggbccghjcdtyjbcbnjhxffcnjjj
4 0
2 years ago
Which statement about solving inequalities is true?
PIT_PIT [208]

None of the statements on that list is true.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help ASAP thanks in advance
    9·1 answer
  • Write an equation for a line parallel to y = -5x - 4
    12·1 answer
  • I don’t know it tried solving it but couldn’t find it
    8·2 answers
  • Is water wet? (wrong answers only)
    9·2 answers
  • Here are two steps from the derivation of the quadratic formula.
    13·1 answer
  • A group of 84 people were given an iq test. Suppose the average iq group was 113. The 36 male had an average iq of 114 find the
    15·1 answer
  • What is the value of 4.6 – t when t = 3.1?
    12·2 answers
  • £40,000 is invested at 8% p.a. If interest is
    15·1 answer
  • Determine the slope
    10·1 answer
  • Which one is not a characteristic of all parallelograms?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!