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
Dmitrij [34]
3 years ago
10

Can anyone help me I don’t know how to do this

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
Start with the vertex form of the equation of a quadratic. Fill in the numbers you know and solve for the one you don't know.
  y = a(x -h)² +k . . . . . . . . for some stretch factor "a" and vertex (h, k)

1. Vertex = (h, k) = (0, 0). Stretch factor can be found from the given point (x, y).
  8 = a(-2 -0)² +0
  8 = 4a . . . . . . . . simplify
  2 = a . . . . . . . . . divide by the coefficient of "a"
Your equation is y = 2x².

Note the above method for solving these problems. It repeats.


2. As above, substitute what's given and solve for what's not.
  3 = a(1 -2)² +0
  3 = a
Your equation is y = 3(x -2)²

3. Repeat
  -4 = a(-5 +3)² +0
  -4 = 4a
  -1 = a
Your equation is y = -(x +3)²

4. Are you seeing the pattern yet?
  0 = a(-1 -0)² +1
  0 = a +1
  -1 = a
Your equation is y = -x² +1

5 & 6. You know that if you want a zero (x-intercept) to be located at x=a, then a factor of the quadratic will be (x -a). Multiply the factors together to get your quadratic function.

5. y = (x -0)*(x -2) = x² -2x

6. y = (x +5)*(x -5) = x² -25 . . . . . . . . . . you should recognize this "special form", the factoring of the difference of squares
You might be interested in
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
Lady bird [3.3K]
The speed of this:
70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps
7 0
3 years ago
Simplify the expression x^2-xy
OlgaM077 [116]

Answer:

The correct answer is (x-y)

Step-by-step explanation:

x^2-xy

x(x-y)

3 0
3 years ago
Karins mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow. Together,
yawa3891 [41]
X = bessie and y = betty

x + y = 1464
y = 2x - 375

x + 2x - 375 = 1464
3x - 375 = 1464
3x = 1464 + 375
3x = 1839
x = 1839/3
x = 613 <== Bessie gave 613 gallons

y = 2x - 375
y = 2(613) - 375
y = 1226 - 375
y = 851 <== Betty gave 851 gallons
7 0
3 years ago
Read 2 more answers
The table of values represents the function t(x) and the graph shows the function g(x).
IrinaK [193]

Answer:

  The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

The table shows t(x) has two (2) x-intercepts: t(-3) = t(5) = 0. The graph shows g(x) has two (2) x-intercepts: g(1) = g(5) = 0. Neither function has fewer x-intercepts than the other.

The table shows the y-intercept of t(x) to be t(0) = 3. The graph shows the y-intercept of g(x) to be g(0) = -1. The y-intercepts are not the same, and that of t(x) is greater than that of g(x).

The table shows the maximum value of t(x) to be t(1) = 4. The graph shows the maximum value of g(x) to be g(3) = 2. Thus ...

  the maximum value of t(x) is greater than the maximum value of g(x)

8 0
3 years ago
I need help. I'm not quite sure which one to choose.
MArishka [77]
I believe it is the first one. A. \frac{x^2}{5^2}- \frac{y^2}{5^2}\ \textgreater \ 1
7 0
3 years ago
Read 2 more answers
Other questions:
  • Arturo has a log that is 4 yards long. he cuts the log into pieces that are 1/3 yard long . how many pieces will Arturo have?
    13·1 answer
  • HELP ASAP GIVING BRAINLIEST
    7·1 answer
  • If I put $300 in an account that earns 5.5% compounded yearly, how much will there be in the account at the end of 21 years
    7·1 answer
  • Which pair of ratios forms a proportion?
    6·1 answer
  • Zoe has 16.8 feet of fabric to make masks. Each mask takes 1.2 feet of fabric to make. How many masks can she make?
    14·1 answer
  • What slope is perpendicular to: <br> m = 5/8
    13·2 answers
  • F(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.
    14·2 answers
  • 48
    6·1 answer
  • A dice is rolled. What is the probability that a 4 is rolled?
    15·2 answers
  • Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric c
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!