All categories

2 years ago

The graph of this function is shifted 7 units right and shifted 5 units up.

Mathematics

1 answer:

mojhsa [17]2 years ago

6 0

<h2><u>Graphing</u></h2>

<h3>The graph of this function is shifted 7 units right and shifted 5 units up.</h3>

True
False

<u>Answer:</u>

<u>False</u>

<u>Explanation:</u>

Why false? As I noticed, in the equation f(x) = -2/3(x - 7)² - 5, the vertex is (7, -5). The value of a, which is -2/3, is negative. So the graph opens downwards. The graph shifts 7 units to the right, which is correct, but graphing 5 units up is wrong. Why? 5 is negative, so it should be shifted 5 units down.

Wxndy~~

You might be interested in

How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0

ziro4ka [17]

Answer:

$\displaystyle x = \frac{\pi}{3} +k\, \pi$ or $\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ , where $k$ is an integer.

There are three such angles between $0$ and $2\pi$ : $\displaystyle \frac{\pi}{3}$ , $\displaystyle \frac{2\, \pi}{3}$ , and $\displaystyle \frac{4\,\pi}{3}$ .

Step-by-step explanation:

By the double angle identity of sines:

$\sin(2\, x) = 2\, \sin x \cdot \cos x$ .

Rewrite the original equation with this identity:

$2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0$ .

Note, that $2\, (2\, \sin x \cdot \cos x)$ and $(-2\, \sin x)$ share the common factor $(2\, \sin x)$ . On the other hand, $2\sqrt{3}\, \cos x$ and $(-\sqrt{3})$ share the common factor $\sqrt[3}$ . Combine these terms pairwise using the two common factors:

$(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0$ .

Note the new common factor $(2\, \cos x - 1)$ . Therefore:

$\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0$ .

This equation holds as long as either $\left(2\, \sin x + \sqrt{3}\right)$ or $(2\, \cos x - 1)$ is zero. Let $k$ be an integer. Accordingly:

$\displaystyle \sin x = -\frac{\sqrt{3}}{2}$ , which corresponds to $\displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi$ .
$\displaystyle \cos x = \frac{1}{2}$ , which corresponds to $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ and $\displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi$ .

Any $x$ that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

$\displaystyle x = \frac{\pi}{3} + k \, \pi$ (from $\displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ , combined,) as well as
$\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ .

7 0

3 years ago

I bought 6 packs of gummy bears. There were 25 gummy bears in each bag and 20% were yellow. Another 10% were white. How many mor

Vinvika [58]

Answer:

15 (I think)

Step-by-step explanation

6 x 25 = 150

20% of 150 = 30

10% of 150 = 15

30 - 15 = 15

<em>Sorry if this is wrong.</em>

<em>Bye, have a great day/night.</em>

3 0

2 years ago

Read 2 more answers

eve found a furniture store that sells an entertainment center she wants for $2,445. if the store offers a one-year loan, with a

ExtremeBDS [4]

Answer:

$90

Step-by-step explanation:

Given from the question that the down payment is 10% the selling price of the store this will be;

10/100 * $2445 = $244.50

Monthly payments = $195

For one year, paying $195 per month will give a total of : $195 * 12 =$2340

Adding the down payment to get total amount paid = $2340 + $195 = $2535

The interest paid will be : $2535 -$2445 = $90

3 0

3 years ago

Simplify the expression -2 (x + 4 + 5y).

dezoksy [38]

Answer:

-2x-10y-8

Step-by-step explanation:

Rearange terms

-2(x+4+5y)

-2(x+5y+4)

Distribute

5 0

3 years ago

Explain why the initial value of any function of the form<br> f(x) = a(bx) is equal to a.

Serggg [28]

Answer:

Step-by-step explanation:

f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.

7 0

3 years ago