MATHEMATICS HIGH SCHOOL

A parabola opens upward. The parabola goes through the point (3,-1),and the vertex is at (2,-2).

Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.
A parabola opens upward. The parabola goes through the point - 1

Answers

Answer 1
Answer:

The equation of the parabola is: y = (x - 2)² - 2. Finding the value of A

The vertex of the parabola is at (2,-2). Since the parabola opens upward, the equation of the parabola will be of the form:

y = A(x - 2)² - 2

We can plug the point (3,-1) into this equation to find the value of A.

-1 = A(3 - 2)² - 2

Simplifying the right side of the equation, we get:

-1 = A - 2

Adding 2 to both sides of the equation, we get:

1 = A

Therefore, the value of A is 1.

Writing the equation of the parabola

The equation of the parabola is:

y = (x - 2)² - 2

To know more about parabola:

brainly.com/question/11911877

#SPJ2
Answer 2
Answer:

Answer:

a=1

Step-by-step explanation:

Hopefully this helps :)

Related Questions

A company’s sales of garden tractors increased about 106% from 2007 to 2008. Th e number of tractors sold in 2007 was 347. How many tractors were sold in 2008?
-2/15 DIVIDED BY -2/5 LOWEST TERMS
What polynomial identity will prove that 49 = (2+5)^2? (A. Difference of Squares; B. Difference of Cubes; C. Sum of Cubes; D. Square of a Binomial)
If a circle c with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point p on c traces out a curve called an epicycloid, with parametric equations x = 7 cos t − cos 7t, y = 7 sin t − sin 7t. find the area it encloses
I need help with this math question:Solve. Sin^2x-Sinx=0I got 0,90,180,270 and 360 degrees. Anyone know if that's right

Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12

Answers

2r + 3s= 9 <=> -6r -9s = -27;
3r + 2s= 12 <=> 6r + 4s = 24;
                    => 0*r -5*s = -3 => s = 3/5;

2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;

Answer:

(18/5,3/5)

Step-by-step explanation:

13. The third term in an arithmetic sequence is 10 and the fifth term is 26. If the first term is , which is an equation for the nth term of this sequence?

Answers

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10  OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42

So the answer is B

How many solutions does the following equation have? -6(x+7)=-4x-2

Answers

Answer:

one solution

x=-20

Answer:

-20

Step-by-step explanation:

-6(x+7)=-4x - 2

-6x - 42 =-4x - 2

-6x +4x=-2+42

-2x=40

x=-40:2

x=-20

Similar to a rectangle with a length of 16 cm and width of 10 cm

Answers

Answer:

the correct answer 26 cm

Answer:

is 8/5 = 1.6

Step-by-step explanation:

you have to find the same result of the division of 16 / 10 = 1.6

Please help me with this question (5y + 2)2 − 96 = 0

Answers

simplify the equation with pemdas
first parentheses

distributive property
a(b+c)=(ab)+(ac)

(5y+2)2=(10y)+(4)
10y+4-96=0
10y-92=0
add 92 to both sides
10y=92
divide both sides by 10
y=9.2

A quadrilateral has angles that measure 56°, 97°, and 136°.What is the measure of the fourth angle?

Answers

Angles of a quadrilateral add up to 360 degrees. Thus;
360-(56+97+136)
=71°
The sum of the interior angles can be represented by:
180(n-2)
180 x 2 = 360
Therefore, the sum of the angles must be 360.

56 + 97 + 136 = 289
360 - 289 = 71°

Hope I helped!
Other Questions
Simplify (6x^2+11x-3) + (2x^2-17x-4)
Okay so I'm struggling at this particular set of questions on Khan Academy. Anyone got any ideas?
After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)
Can someone help me with this triangle??Find missing side lengths