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
dedylja [7]
3 years ago
9

Find the vertex of this parabola: y=-4x^2+8x-12

Mathematics
2 answers:
Radda [10]3 years ago
8 0
(1,-8) is the vertex
tatiyna3 years ago
4 0
<span>The vertex of the parabola is the highest or lowest point of the graph. 

</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3) 

Lets work with this now: </span>x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square? 
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2

Replacing to original 
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8

The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8

This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8
You might be interested in
What is the measure of
masha68 [24]

Answer:

about 54

Step-by-step explanation:

due to the fact that it is just about a reflection but the thing is that it must be around 90, but it really depends on the angle you measure it at.

6 0
2 years ago
Help me answer this please:)
Dmitrij [34]

Answer:

A and B

Step-by-step explanation:

\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2

Now, look at your answer choices, which options are less than or equal to -2?

x ≤ -2, Check your answers:

A. -3 ≤ -2?

This statement is correct (-3 is < -2)

B. -2 ≤ -2 <== our original answer

This statement is correct (-2 is = to -2)

C. -1 ≤ -2

This statement is incorrect (-1 is > -2, not ≤ -2)

D. 0 ≤ -2

This statement is incorrect (0 is > -2, not ≤ -2)

E. 1 < -2

This statement is incorrect (1 is > -2, not ≤ -2)

Therefore, the correct options are A and B

Hope this helps!

6 0
3 years ago
What is the product?<br> 1st pic is the question, the rest are the answer options.
zheka24 [161]

Negative x positive = negative

Negative x negative = positive


-4 x 8 = -32

-4 x -1 = 4

-4 x -5 = 20

-4 x 9 = -36


Answer: |-32 4 20 -36|

8 0
2 years ago
Help ASAP!!! answer e f g h question<br>​
Citrus2011 [14]

Step-by-step explanation:

answer......

...........

8 0
2 years ago
Simplify 6 - 3(4 - 3x)<br> -3x - 6<br> 9x + 18<br> 9x - 6
svet-max [94.6K]

Answer:

6 (19 x - 2)

Step-by-step explanation:

Simplify the following:

6 - 3 (4 - 3 x) - 3 x - 6×9 x + 18×9 x - 6

-6×9 = -54:

6 - 3 (4 - 3 x) - 3 x + -54 x + 18×9 x - 6

18×9 = 162:

6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6

Grouping like terms, 6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6 = (-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6):

(-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6)

-3 x - 54 x + 162 x = 105 x:

105 x - 3 (4 - 3 x) + (6 - 6)

6 - 6 = 0:

105 x - 3 (4 - 3 x)

-3 (4 - 3 x) = 9 x - 12:

9 x - 12 + 105 x

Grouping like terms, 105 x + 9 x - 12 = (105 x + 9 x) - 12:

(105 x + 9 x) - 12

105 x + 9 x = 114 x:

114 x - 12

Factor 6 out of 114 x - 12:

Answer: 6 (19 x - 2)

7 0
3 years ago
Other questions:
  • I have three bill and three coins. They add up to $4.25. What denominations do I have
    5·1 answer
  • A parallelogram-shaped sponge is 1 inch by 3 inches. The area of a design is 66 square inches. How many times do you use the spo
    8·2 answers
  • 5th Grade Math
    5·1 answer
  • Each prize is worth 3 tickets at the game center.How many tickets are needed for 23 prizes?​
    14·2 answers
  • Use synthetic division to find the result when x^4-2x^2-4x-48 is divided by x-3
    10·1 answer
  • Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power series expansion. Do not show that
    8·1 answer
  • Which statement about|-8 is true?
    14·1 answer
  • Amy bought a new car for 25,000. She paid a 10% down payment and financed the remaining balance for 60 months with an of Determi
    15·1 answer
  • 8<br> What is 5.618372 rounded to the nearest tenths place?
    6·2 answers
  • 1. What does the mark of the angles and sides of the triangle indicate?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!