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
gtnhenbr [62]
3 years ago
10

The following equation of a quadratic function is given in standard form. f(x) = x²- 2x + 2 Determine the vertex for each quadra

tic. Round your answers to the nearest tenth if necessary. (x, y) = ______.
Mathematics
1 answer:
olganol [36]3 years ago
6 0

Answer:

The vertex for each quadratic is (x,y) = (1,1)

Step-by-step explanation:

To determine the vertex for each quadratic,

The vertex of the x coordinate can be determined using the formula,

x-vertex = \frac{-b}{2a}

The standard form of the quadratic function is

f(x) = ax^{2} + bx + c

Hence, for the given equation of the quadratic function,

f(x) = x^{2} -2x +2

a = 1

b = -2

and c = 2

Hence, x-vertex becomes,

x-vertex = \frac{-b}{2a}

x-vertex = \frac{--2}{2(1)}

x-vertex = \frac{2}{2}

∴x - vertex = 1

This is the vertex for the x-coordinate

To determine, the vertex for the y-coordinate

We will put the value of the vertex of the x-coordinate in the equation and write

y-vertex = x^{2} - 2x + 2

Then,

y-vertex = (1)^{2} -2(1) + 2

y-vertex = 1 - 2 +2\\y-vertex = 1

This the vertex for the y-coordinate

Hence, (x,y) = (1,1)

You might be interested in
A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
Naya [18.7K]
<span>Volume of Cone: 1/3 Bh where B is the area of the base 1/3 Bh = 5 Bh = 15 B = 15/h The cylinder has the same base area as the cone. Volume of Cylinder: V = B*h B = V/h and B = 15/h The height of the cone and the cylinder are the same. V/h = 15/h Volume of Cylinder = 15.</span>
4 0
3 years ago
What is 9 ten thousands ÷10
borishaifa [10]
9 ten-thousands is 9*10,000=90,000.  90,000/10 is 9,000, or nine thousands.
6 0
3 years ago
Read 2 more answers
7 lbs of sour candies cost $7.00. What is the unit price?
grandymaker [24]

Answer:

$1 per lb

Step-by-step explanation:

If you divide the cost by the amount you are getting, then you get the unit rate. So, since 7 divided by 7.00 is 1.00, then the cost per pound is $1.00

7 0
3 years ago
What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

\dfrac{p}{2}=2\Rightarrow p=4

Hence, the equation of parabola is

(x-2)^2=8(y+4)

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

y=\dfrac{1}{8}(x-2)^2-4

8 0
3 years ago
Two of the Boy Scouts (exercise 19), Tom and Jerry, are weightlifters. They carry 50 lb. per trip. How many trips will each scou
steposvetlana [31]

Answer:

is the the whole question ?

3 0
3 years ago
Other questions:
  • At the beginning of year 1, Gracie invest $350 at annual simple interest rate of 4%. She makes no deposits to or withdrawals fro
    8·2 answers
  • A small art museum charges $5 for an adult ticket and $3 for a student
    15·1 answer
  • (a) If U = {y:5 20), P= {7,8,12, 19; and Q = {12, 15, 17, 19), find PU Q and P-Q.
    11·1 answer
  • Five times the sum of a number and 3 equals 9
    14·1 answer
  • If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?
    13·1 answer
  • Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 pe
    5·2 answers
  • 1. Simplify the expression.<br> -9 + 6<br> 15<br> -3<br> -15<br> 3
    12·2 answers
  • How do i solve tis in need help <br> slope=2/7 y-intercept=-4
    15·1 answer
  • Sarah was thinking of a number. Sarah doubles it and gets an answer of 4.5. What was the original number?
    9·2 answers
  • Combine like terms in the expression –5x + 2y + 5x – 8y.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!