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3 years ago

Help me solve please.

Mathematics

1 answer:

Sophie [7]3 years ago

4 0

Answer:

r3d option to first, last option to second

Step-by-step explanation:

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Help please 1. Describe the transformations necessary to transform the graph of

natta225 [31]

Here are all the steps, and what they do:

STEP 1: HORIZONTAL TRANSLATION

We transform

$x^2\mapsto (x-1)^2$

The general transformation is

$f(x)\mapsto f(x+k)$

These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.

In this case, k = -1, so we translate the original graph 1 unit to the right.

STEP 2: VERTICAL STRETCH

We transform

$(x-1)^2\mapsto 3(x-1)^2$

The general transformation is

$f(x)\mapsto kf(x)$

These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.

In this case, k = 3, so we stretch the graph vertically by a factor 3.

STEP 3: VERTICAL TRANSLATION

We transform

$3(x-1)^2\mapsto 3(x-1)^2+4$

The general transformation is

$f(x)\mapsto f(x)+k$

These transformations translate the graph vertically, k units up if k>0, k units down if k<0.

In this case, k = 4, so we translate the graph 4 units up.

So, we start from the original graph of $f(x)=x^2$ and we:

Translate it 1 unit to the right
Stretch it vertically by a factor 3
Translate it 4 units up

(the order is important!)

to get the graph of $g(x)=3(x-1)^2+4$

4 0

3 years ago

You have a bill of $100. find a 18% tip?

JulijaS [17]

Answer:

$18

Step-by-step explanation:

18% of 100 is 18

3 0

3 years ago

Read 2 more answers

Juan has a piano next month . last week he practiced for 8 hours in the morning and 7 hours in the afternoon. each practice sess

timofeeve [1]

First of all we will divide 8 by 2 to get the number of full practices in the morning, which is 4. Next divide 7 by 2 to get the number of practices in the afternoon. Although there is a remainder, that remainder is not a full practice session, so we only count the whole numbers which is 3.
4 + 3 = 7 full practice sessions.

7 0

3 years ago

The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-graders. Scores on the test range

LiRa [457]

Answer:

Its standard deviation is 3.79.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .