Ask question

Ask question

All categories

3 years ago

6

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x + 2)^2 - 3

1 answer:

enyata [817]3 years ago

8 0

<span>y = 2(x + 2)^2 - 3 has the form y = a(x-h)^2 + k.

Here, a=2, h=-2 and k=-3.

This is a quadratic function. Its graph is a vertical one which opens up (we know that because a = 2 is positive). Its vertex is (-2, -3). Because the graph opens up, (-2, -3) represents the minimum of this function.

The domain of any and all polynomial(s) includes "all real numbers."
The range is the set of possible outputs (y-values) and is (-3, infinity).</span>

You might be interested in

Jimmy’s dad gave him $100 on his birthday, which is January 1. Jimmy deposited the $100 in his savings account the same day. At

aliya0001 [1]

$300 every month beginning Feb 1st until the month of June = $1800

5 0

3 years ago

24x + 15 <br>find the value of x

nika2105 [10]

Answer:

x=-0.625

Step-by-step explanation:

24x+15=0

-15 -15

24x=-15

x=-0.625

5 0

3 years ago

A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a st

SpyIntel [72]

Answer: $15.3\pm0.198$

OR

(15.102, 15.498)

Step-by-step explanation:

The formula to find the confidence interval $(\mu)$ is given by :-

$\overline{x}\pm z_{\alpha/2, df}\dfrac{s}{\sqrt{n}}$

, where n is the sample size

$s$ = sample standard deviation.

$\overline{x}$ = Sample mean

$z_{\alpha/2}$ = Two tailed z-value for significance level of $\alpha$ .

Given : Confidence level = 95% = 0.95

Significance level = $\alpha=1-0.95=0.05$

$s= 1.6$

$\overline{x}=15.3$

sample size : n= 250 , which is extremely large ( than n=30) .

So we assume sample standard deviation is the population standard deviation.

thus , $\sigma=1.6$

By standard normal distribution table ,

Two tailed z-value for Significance level of 0.05 :

$z_{\alpha/2}=z_{0.025}=1.96$

Then, the 95% confidence interval for the mean credit hours taken by a student each quarter :-

$15.3\pm (1.96)\dfrac{1.6}{\sqrt{250}}\\\\ =15.3\pm 0.19833\\\\=\approx15.3\pm0.198\\\\=(15.3-0.198,\ 15.3+0.198)=(15.102,\ 15.498)$

Hence, the mean credit hours taken by a student each quarter using a 95% confidence interval. =(15.102, 15.498)

5 0

4 years ago

Which sequence of transformations creates a similar but not congruent triangle?

Vsevolod [243]

Answer:

<h3> A. Dilation and reflection</h3>

Step-by-step explanation:

There are the same angles in similar triangles but sides not necessarily.

In congruent triangles there are the same angles and the same sides.

Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.

4 0

3 years ago

Which is the greatest rate? 2.3% 0.99% 2.25% 1.1%

vekshin1

Answer:

2.3%

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers