What is y= -x^2-2x+3 in vertex form

Answers

Answer 1

Answer: y = -x² - 2x + 3
  y - 3 = -x² - 2x + 3 - 3
  y - 3 = -x² - 2x
y - 3 - 1 = -x² - 2x - 1
  y - 4 = -(x²) - (2x) - (1)
  y - 4 = -(x² + 2x + 1)
  y - 4 = -(x² + x + x + 1)
  y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
  y - 4 = -(x(x + 1) + 1(x + 1))
  y - 4 = -(x + 1)(x + 1)
  y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4
y = -(x + 1)² + 4

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Which pronoun correctly completes the sentence? For __________ is the park named?
a. who
b. whom

Answers

the answer would be "B. whom"

b. whom you can rephrase the sentence as the park is named for him, since you use him, the correct word is whom

Write the equation of the parabola with a focus (1,2) and directrix y = 1

Answers

since the y shifted and focus is above directix, parabola opens up
4P(y-k)=(x-h)^2
distance from focus to veretx=distance from vertex to directix=P

from focus to directix is
from 2 to 1 which is 1 distance
1/2=P since 1/2of 1=1/2
4(1/2)(y-k)=(x-h)^2
vertexis 1 higher than directix so add 1/2 to 1 to get 1.5
vertex=(1,1.5)
vertex=(h,k)

equation is
4(1/2)(y-1.5)=(x-1)^2
if you want vertex form
2(y-1.5)=(x-1)^2
divide 2
y-1.5=(1/2)(x-1)^2
add 1.5
y= $(1/2)(x-1)^(2)+1.5$

Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the lake, the rock's distance from the lake's surface changes at a rate of -5 inches per second. If lisa holds her hand 5 feet above the lake's surface, how far from Lisa's hand is the rock 4 seconds after it hits the surface? Please show how you arrive at your answer

Answers

well, it goes 5 inches per second so after 4 seconds it is 4 times 5 =20 inches under the surface, add that to 5 feet and you get 6 ft and 8 inches

Mel had a whole pizza. His friends ate 3/4 of the pizza. Mel said he had 1/2 of the pizza left. Is Mel's answer reasonable?

Answers

No! because for 1 if she had a full pizza and her friends ate 3\4 then there would be 1\4 peices left

Answer:

The Correct answer is 1/4

Step-by-step explanation:

I know for sure because i just took the test. This is what your answer should look like: No, it is not reasonable because 1−3/4=1/4 .

2.3 + 6.82 ÷ 3.74 + 1.09

Answers

2.3 + 6.82 : 3.74 + 1.09 = 3.39 + 1.8 = 5.19

BIDMAS
6.82/3.74 = 1.82352941176
2.3 + 1.09 = 3.39
1.82352941176 + 3.39 = 5.21352941176

Unless you didn't include brackets, which would result in a different answer

The Amazing Art Museum has 50 exhibits. On Wednesday, 22% of them were closed for cleaning. How many exhibits were closed on Wednesday?