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
choli [55]
11 months ago
6

2.1 & 2.2 Assessment: Vertex & Standard Form of Quadratic Functions

Mathematics
1 answer:
Brums [2.3K]11 months ago
6 0

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2 - 9\qquad \textit{we also know that} \begin{cases} x=2\\ y=-7 \end{cases} \\\\\\ -7=a(2-1)^2-9\implies 2=a(1)^2\implies 2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} y=2(x-1)^2 -9 \end{array}} ~\hfill

You might be interested in
A line has a slope of -1/2 and a why intercept of -2
Mice21 [21]

Answer:

y = -1/2x - 2

Step-by-step explanation:

The formula of the slope-intercept is y = mx + b. The m is the slope while y is the y-intercept.

y = -1/2x - 2

7 0
3 years ago
What is the midpoint of a line segment with endpoints at (3,-1) and (8, -4)?
8090 [49]

Answer:

Step-by-step explanation:((\frac{3+8}{2} ,\frac{-1-4}{2} )\\\\(\frac{11}{2} ,\frac{-5}{2} )

5 0
3 years ago
Read 2 more answers
Can you please help me solve this equation
Pavlova-9 [17]
I think each girl had 8.1 points may be wrong

4 0
3 years ago
Which of the following are congruence transformations? Check all that apply.. A. Translating. B. Reflecting. C. Rotating. D. Shr
Temka [501]
Congruence transformations are:
A ) Translating,
B ) Reflecting,
C ) Rotating.
7 0
2 years ago
Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet,"
FrozenT [24]

Answer:

Step-by-step explanation:

L(x) means that Student X has an internet connection

C(x,y) means that students X and Y have chatted over the internet

The domain for variables X and Y comprise all students in your class. We now use quantifiers or algebraic functions to express each of the statements:

(A) Jerry does not have an internet connection

L(x) = 0

Where X represents Jerry

(B) Rachel has not chatted over the internet with Chelsea

C(x,y) = 0

Where X and Y represent Rachel and Chelsea

(C) Jan and Sharon have never chatted over the internet

L(x) + L(y) = 0

Where X and Y represent Jan and Sharon. If they have NEVER chatted over (the question didn't say they have never "with each other", it says they have never chatted at all) the internet, then they've probably never had an internet connection!

(D) No one in the class has chatted with Bob

Let Y represent Bob and X1, X2, ..., Xn represent everyone else in the class.

The value of Y is not significant here (because it is raised to the power of zero and that makes it equal to 1 and when 1 is multiplied by any X value, the X value or student remains the same) but we have to put it, to represent Bob.

The quantifier here is C (X1Y°, X2Y°, X3Y°, ..., XnY°)

5 0
3 years ago
Other questions:
  • Write the equation of the line, in slope-intercept form, that contains the points (-1, -2) and (1, 2). Use the box provided or t
    7·1 answer
  • A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 2525 feet
    12·1 answer
  • Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret wei
    9·1 answer
  • Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ triangle, two​ tria
    9·1 answer
  • Simplify to create an equivalent expression 19−6(−k−2)
    8·1 answer
  • Which of the following best describes the unit price of an 8-ounce bag of walnuts?
    12·1 answer
  • Jackson can remove the shingles off of a house in 7 hours, while Martin can remove the shingles in 5 hours. How long will it
    6·2 answers
  • PLZ HELP!!!!! BEST ANSWER WILL BE CHOSEN FOR BRAINLIEST!
    12·1 answer
  • Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2 8 inches, 7 7 8 inches, 4 1 8 inches, and 3 3 8 inches
    13·1 answer
  • 4. State the range of the cubic function:<br> f(x)= 1/2 (x +4)^3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!