All categories

3 years ago

Choose the function that correctly identifies the transformation of f(x) = x2 shifted two units to the left and one unit down.

Mathematics

2 answers:

AnnZ [28]3 years ago

7 0

Answer:

D) g(x) = (x + 2)^2 - 1

Pachacha [2.7K]3 years ago

4 0

Answer:

D) g(x) = (x + 2)^2 - 1

Step-by-step explanation:

Here g(x) = x^2 is a quadratic function.

The vertex form is f(x) = a(x - h)^2 + k, where "h" represents the horizontal shift and "k" represents the vertical shift.

Here h = -2 and k = -1

Plugging the values, we get

g(x) = (x - (-2))^2 - 1

g(x) = (x + 2)^2 - 1

So the answer is D) g(x) = (x + 2)^2 - 1

Hope this will helpful.

Thank you.

You might be interested in

I know it's late but im having trouble in math.I need an exper to help for BRAINLEST and extra points

frez [133]

Answer:

B'(- 2, 2 )

Step-by-step explanation:

Given the translation rule (x, y ) → (x + 3, y - 2 )

This means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, that is

B(- 5, 4 ) → B'(- 5 + 3, 4 - 2 ) → B'(- 2, 2 )

8 0

3 years ago

Please look at the screenshot it has my question.

shepuryov [24]

Answer:

6.25 mins (6 minutes 15 seconds)

Step-by-step explanation:

96 tests = 2mins

300 tests = x mins

X = 2/96 x 300

X = 6.25 mins

3 0

3 years ago

A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio

Reptile [31]

Answer:

The probability is $P(|p-\^{p}| > 0.03) = 0.0040$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.07$

The mean of the sampling distribution is $\mu_p = 0.07$

The sample size is n = 600

Generally the standard deviation is mathematically represented as

$\sigma_p = \sqrt{\frac{p (1 -p)}{n} }$

=> $\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }$

=> $\sigma_p = 0.010416$

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

$P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )$

Now add p to both side of the inequality

=> $P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )$

Now converting the probabilities to their respective standardized score

=> $P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )$

=> $P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)]$

From the z-table

$P(Z \le 2.88) = 0.9980$

and

$P(Z \le -2.88) = 0.0020$

$P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020]$

=> $P(|p-\^{p}| > 0.03) = 0.0040$

7 0

3 years ago

a 20 ft piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the sh

oee [108]

Longer piece is 15 and shorter piece is 5

5 0

4 years ago

I need help again lol

olya-2409 [2.1K]

Answer:

i think i answered this already

Step-by-step explanation:

lol

3 0

3 years ago