Quadratic graph find a and b

Answers

Answer 1

Answer:

Answers: a = -9 and b = -2

Reason

The template $y = (x+a)^2 + b$ is very close to the vertex form $y = c(x-h)^2+k$ where the vertex is (h,k). The vertex represents either the highest point or the lowest point on the parabola (depending if the parabola opens downward or upward).

In this case h = 9 and k = -2. Also, c = 1.

So we go from $y = c(x-h)^2+k$ to $y = 1(x-9)^2+(-2)$ which can be rewritten as $y = (x+(-9))^2+(-2)$

Compare that with $y = (x+a)^2+b$ and you'll find that a = -9 and b = -2

Related Questions

How many solutions are there to the equation below? 6x + 30 + 4x=10(x + 3) a. 0 b. infinetely many c. 1
Convert 3 7/8 to a fraction notation?
312 is 65% of what number
A ball is dropped from a height of 16 feet. The ball bounces. After each bounce, the height attained by the ball is 65% of the previous height. Write an nth term formula to model the situation. What is the maximum height attained by the ball after four bounces?1.86 feet 0.24 feet 4.39 feet 2.86 feet
Two friends live 15 miles apart. One day, they decide to jog and meet each other. Tanya leaves her house and heads east, jogging at a rate of 2.5 miles per hour. At the same time Kelly leaves her house and heads west, jogging at a rate of 3.5 miles per hour. How long does it take for the two to meet?

After prime planting season was over, a horticulturist sold lilac bushes for $15.00. If the original price was $39.00, what is the percentage mark down?

Answers

Find what percent of $39.00 the sale price was.
=> 15/39*100=38.4%
now subtract from 100% to get the mark down percentage.
100-38.4=61.6
Final answer:
Marked down 61.6%
Hope I helped :)

Mr.Vance's yearly taxable income is $35,675.What is the dollar amount taken out for taxes based on Mr.Vance's taxable income?

Answers

This is an incomplete problem. The missing information is

Each bulleted statement describes how the amount of income tax is determined for yearly income in different ranges.

1) Yearly incomes of $8,925 or less are taxed at a flat rate of 10%.
2) For yearly incomes from $8,926 to $36,250, the first $8,925 is taxed at 10% and any income beyond $8,925 is taxed at 15%.
3) For yearly income greater than $36,250, the first $8,925 is taxed at 10%, the next $27,325 is taxed at 15%, and any income beyond $36,250 is taxed at 25%

The taxable income of Mr. Vance corresponds to number 2.

⇒ 8,925 * 10% = 892.50
⇒ 35,675 - 8,925 = 26,750 * 15% = 4,012.50

Total tax = 892.50 + 4,012.50 = 4,905

What is 780 in scientific notation?

Answers

scientific notation is
x*10^y such that
1<x<10

780=7.8 times 100=7.8 times 10^2

7.8*10^2

Answer: 7.8*10^2
1<n<10
1<(7)<10

Austin plays both forward and goalie on the school soccer team. He has played forward in 4 games for every 3 games he has been the goalie this season. Pick the diagram that models the ratio in the story. If Austin has played forward in 8 games, in how many games has he been the goalie?

Answers

Answer:

Austin has been the goalie in 6 games.

Step-by-step explanation:

The diagram that models the ratio in the story is a fraction diagram.

Let's represent Austin playing forward as F and Austin being the goalie as G.

According to the story, Austin has played forward in 4 games for every 3 games he has been the goalie. This can be represented as the fraction 4/3.

Now, we know that Austin has played forward in 8 games.

To find out how many games he has been the goalie, we can set up a proportion using the ratio from the story:

4/3 = 8/x

To solve for x, we can cross-multiply:

4x = 3 * 8

4x = 24

Dividing both sides of the equation by 4, we get:

x = 6

Therefore, Austin has been the goalie in 6 games

A belt runs a pulley of radius 8 inches at 60 revolutions per minute. a) Find the angular speed in radians per minute. b) Find the linear speed in inches per minute.