Larry factored 9x2 + 24 as 9 (x2 - 2w + 24 what was the error

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

2 years ago

What is 18.4 times 3.40 and the wprk showed

dusya [7]

Decimal division is super easy, let me show you how.

First, let's remove the decimal from both numbers. We have 184 and 340. Now let's multiply those two numbers.

184*340 = 62560.

Now, we need to figure out how many decimal places are in the original decimals. 18.4 has one decimal place, and 3.4 has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)

Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.

If there's only two decimal places in 62560, it would look like this: 62.56 (Remember, zeros at the end of a decimal does not count as a decimal place!)

There's your final answer. 62.56.

Hope this explanation helped you out. :)

7 0

3 years ago

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

Alexxandr [17]

Answer:

$\large\boxed{B.\ y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)}$