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
Eduardwww [97]
4 years ago
13

Find the Vertex (h, x) using this formula

Mathematics
1 answer:
svlad2 [7]4 years ago
8 0

Answer:

The correct option is C.

Step-by-step explanation:

If a parabola is defined as

f(x)=ax^2+bx+c          .... (1)

then the vertex of the parabola is

Vertex=(-\frac{b}{2a},f(-\frac{b}{2a}))

The given function is

f(x)=-2x^2+4x-7          .... (2)

From (1) and (2) it is clear that

a=-2,b=4,c=7

h=-\frac{b}{2a}

Substitute a=-2 and b=4 in the above equation.

h=-\frac{4}{2(-2)}=-\frac{4}{-4}=1

The value of h is 1.

substitute h=1 in function (2).

f(1)=-2(1)^2+4(1)-7=-5

The vertex of the function is (1,-5). Therefore the correct option is C.

You might be interested in
Please help me answer this question​
vfiekz [6]

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

The graph ranges vertically between 9 and 15, starting at 9 (the minimum) when x=0. The minimum appears again at x=350.

This means the vertical offset is (9+15)/2 = 12, and the amplitude is (15 -9)/2 = 3. The period is 350, so the coefficient of x is (2π/350). All of the answer choices agree on these parameters.

So, the selection comes down to an understanding of how the sine and cosine curves vary. The sine curve starts at zero and increases from there. The cosine curve starts at its maximum (1) and decreases. Here, the curve starts a its minimum and increases, so could be the opposite of the cosine function.

  y = -3cos(2πx/350) +12 . . . . . . matches choice C

5 0
3 years ago
Please help me figure this out!!!!!!
Firdavs [7]
The answer is 129.13 is your answer. Remember, t<span>he perimeter of the base is 4s since it is a square. There is no formula for a </span>surface area<span> of a non-regular </span>pyramid<span> since slant height is not defined. To </span>find<span> the </span>area<span>, </span>find<span> the </span>area<span> of each face and the </span>area<span> of the base and add them.</span>
8 0
4 years ago
Read 2 more answers
Philip is conducting a survey to determine the weight of 100 cows on a farm. Which of the following questions is an appropriate
liubo4ka [24]
Because Philip is conducting a survey that pertains to the weight of the cows, he needs statistics that directly relate to weight.

The cows being overweight doesn't give Philip concrete information on the weight of the cows, as it doesn't give the amount of pounds a cow weighs. Average age has nothing to do with weight, and normal body weight doesn't give concrete information on weight.

The answer is "<span>What is the weight of each cow on the farm?".</span>
5 0
3 years ago
Read 2 more answers
if the vertex of a parabola is (-4,6) and another point on the curve is (-3,14), what is the coefficient of the squared expressi
Softa [21]

Answer:

8

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, 6 ), thus

y = a(x + 4)² + 6

To find a substitute (- 3, 14) into the equation

14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )

8 = a

Thus the coefficient of the x² term is a = 8

3 0
3 years ago
Can anybody help me please
Alexus [3.1K]

Answer:

The answers follow in order, yes, no, and no.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find all numbers such that a third of a number increased by half that number is at least 3 less than that same number.
    14·2 answers
  • Find the slope: y = 3 - 6x
    11·1 answer
  • Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degr
    13·2 answers
  • What is the total cost of a pair of jeans that are priced $40.00 if there is a 6.5% sales tax? $40.65 $42.60 $44.00 $46.50
    9·2 answers
  • Place the following steps in order to complete the square and solve the quadratic equation,
    8·1 answer
  • POSSIBLE POINTS 6
    8·1 answer
  • Is there a math Theorem for a right triangle
    14·1 answer
  • Can someone help me with these to please I really need these rn ??
    6·2 answers
  • Which expression are of -48xyz+24xy+40xyz
    14·1 answer
  • PLEASEEE HELP!!!! what’s the relation?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!