All categories

4 years ago

Which of the following describes the translation of the graph of y = x 2 to

Mathematics

1 answer:

VLD [36.1K]4 years ago

7 0

Answer:

reflect over the x-axis and shift down 3

Step-by-step explanation:

The leading coefficient of -1 means the graph is reflected over the x-axis. The addition of -3 to the function means each graphed point is shifted down 3 units from the original.

The graph of y = -x^2 -3 is the result of the transformation ...

reflect over the x-axis and shift down 3

You might be interested in

DUE: 10-31-2019

Mamont248 [21]

Answer:

Here's what I get

Step-by-step explanation:

I plotted the triangles in the diagram below.

Part A

The scale factor for dilation is ½, because every coordinate has been halved.

P (8, 0) ⟶ P' (4, 0)

Q (6, 2) ⟶ Q' (3, 1)

R (-2, -4) ⟶ R' (-1, -2)

Part B

When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

P' (4,0) ⟶ P" (-4,0)

Q' (3,-1) ⟶ Q" (-3,-1)

R' (-1,-2) ⟶ R" (1,-2)

∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).

Part C

∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.

5 0

3 years ago

A chip used in the production of particleboard (Question 4) has a 15% chance of containing excessive bark. What is the probabili

salantis [7]

Answer:

0.2

Step-by-step explanation:

Given that:

P(particleboard with excessive bark) = 0.15

The P(that particleboard do not have excessive bark) = 1 - 0.15

i.e the population proportion number of success p = 0.85

The sample size (n) is given to be = 1000

To find the P(X ≥ 860)

Since the sample size is large, we will apply the normal approximation of binomial distribution to treat this question.

The population mean $\mu = n \times p$

$\mu = 1000 \times 0.85$

$\mu =850$

The population standard deviation $\sigma = \sqrt{n*p(1-p)$

$\sigma = \sqrt{1000*0.85*(1-0.85)}$

$\sigma = \sqrt{1000*0.85*(0.15)}$

$\sigma = \sqrt{127.5}$

$\sigma = 11.2916$

Let X be the random variable which obeys a normal distribution;

Then;

$P(X \ge 860) = P(Z\ge \dfrac{x- \mu}{\sigma})$

$P(X \ge 860) = P(Z\ge \dfrac{860- 850}{11.2916})$

$P(X \ge 860) = P(Z\ge \dfrac{10}{11.2916})$

P(X ≥ 860) = P(Z ≥ 0.8856)

P(X ≥ 860) = 1 - P(Z ≤ 0.8856)

From z table

P(X ≥ 860) = 1 - 0.8122

P(X ≥ 860) = 0.1878

P(X ≥ 860) $\simeq$ 0.2

Thus, the probability of having more than 860 bark-free chips in a batch of 1,000 = 0.2

6 0

3 years ago

Carol has a collection of 100 stamps the graph below shows the percentage of stamps she has from each country. How many more of

Gala2k [10]

5 more. Since 29-24=5.

5 0

3 years ago

Can someone please help me i dont know the answer.

Nitella [24]

Answer:

-272

Step-by-step explanation:

5 0

3 years ago

Marge has 4 more than 2 times as many books as Susan. If Marge has 22 books and x is the number of books that Susan has, the rel

Slav-nsk [51]

Susan has 9 books

Step-by-step explanation:

Step 1: Given the relationship between the number of books that Susan and Marge has, find x.

4 + 2x = 22

2x = 18

x = 18/2 = 9

⇒ Number of books that Susan has is 9

6 0

3 years ago