Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?A.f(x) = (x – 8)2 – 56
B.f(x) = (x – 4)2 + 0
C.f(x) = (x + 8)2 – 72
D.f(x) = (x + 4)2 – 32
Answers
I'll rearrange it using y and x.
y = x² - 16x + 8
y - 8 = x² - 16x
y - 8 + 64 = x² - 16x + 64
y + 56 = (x-8)²
y = (x-8)² - 56
(x - 8)(x - 8) = x(x-8) - 8(x-8) = x² - 8x -8x + 64 = x² - 16x + 64
Choice A.) f(x) = (x-8)² - 56
By completing the square, the function in vertexform f(x) = (x - 8)² - 56 is equivalent to the function in standardform f(x) = x² + 8 - 16 · x. (Correct choice: A)
How to determine the vertex of the quadratic function by algebraic means
In this question we must transform a quadraticfunction in standardform into vertexform. An analytical approach is completing the square, which consists in transforming part of the polynomial into a perfect squaretrinomial. Now we proceed to present the procedure:
1) x² + 8 - 16 · x Given
2) x² - 16 · x + 8 Commutative property
3) x² - 16 · x + 64 - 56 Modulative property/Existence of additive inverse/Definition of addition
4) (x - 8)² - 56 Associative property/Perfect square trinomial/Result
By completing the square, the function in vertexform f(x) = (x - 8)² - 56 is equivalent to the function in standardform f(x) = x² + 8 - 16 · x. (Correct choice: A)
To learn more on quadratic functions: brainly.com/question/5975436
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Related Questions
20 pointsA large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Whichstatements can be used to write an expression and then find the number of peanuts that ended up in each bag?Check all that apply.The operation is division.The operation is multiplication.The variable is the number of bags.342 divided by 6 equals 57.Write the division expression as a fraction,To evaluate, substitute 342 for the variable.Each bag will have 57 peanuts.The constant is 342.
PLEASE ANSWER THE QUESTION CORRECTLY!!!!!!!!!!!!
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Find the value 1/2+1/3+1/4=plz answer step by stepi will give you 5 star
B) 5.8 in3
C) 52 in3
D) 64 in3
Answers
Given the illustration, we can be able to know the dimensions of the formed box.
The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x
So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5
Answer:
C
Step-by-step explanation:
The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.
Answers
Answer:
31
Step-by-step explanation:
16+5=21
21+5=26
26+5=31
3(3 - p) =
Answers
Answer:
-3p+9
Step-by-step explanation:
Type your answer as a fraction in simplest form.
Answers
Answer:
3 bc its facts
Step-by-step explanation:
no
Answer:
2:3
Step-by-step explanation:
Total problems=12+24=36
So since there are 24 division problems, 24:36 is the answer
But we must simplify it
So it is 2:3
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756
Answers
Answer:
$852
Step-by-step explanation:
From the given question, the following are given:
Present value, PV = $675
Rate, r = 6% = 0.06
Number of years, n = 2 years
Number of times per year, m = 2
The balance in his account is the future value (FV), so that;
Future value = PV
= 675
= 675 x 1.26248
= 852.174
Future value = $852
Thus, the balance in Alex's account would be $852.
Answers
Answer: We are given Quadrilateral LMNO is reflected over a line.
Also given Quadrilateral LMNO is congruent Quadrilateral CDAB, that is
LMNO ≅ CDAB.
Note: Reflection over a line represents mirror images of the figures.
From the given image we can see
LM is congruent to CD.
ON is congruent to BA.
LO is congruent to BC.
MN is congruent to AD.
Therefore, DC segment corresponds to ML.
Hope i helped you out!