Find the vertex of this function. Is it a maximum or a minimum? y=-3(x + 4)2 + 2

Mathematics

1 answer:

Vika [28.1K]3 years ago

8 0

Step-by-step explanation:

The equation given is of the form

$y = a(x - h)^2 + k$

where (h, k) are the coordinates of the vertex. So in this case, the vertex is located at (4, 2). Since a is a negative number (a = -3), this means that the vertex is a maximum because the parabola opens downward.

You might be interested in

How to determine the amount of zeroes of a function?

My name is Ann [436]

You can determine this by doing b² - 4ac (using the values in the quadratic function) and see if it is greater than zero, less than, or equal to. If it is greater, then it has 2 x-intercepts or zeroes. If it equals zero, then you have one x-intercept. If it equals less than zero, you have no x-intercepts.

4 0

4 years ago

*you get 16 points*PLEASE ANSWER i’m kinda failing so help

Alecsey [184]

The answer is four because there's one line that is placed on the origin which makes it no solution because there's not supposed to be a line on the origin and number 1 is a solution because there are neither lines plotted on the origin and has parallel lines

4 0

3 years ago

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000

mel-nik [20]

Answer:

0.018 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(brand will last between 56,850 miles and 57,300 miles)

$P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%$