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3 years ago

F(x) = a(x - h)power of 3 + k please describe what a, h and k do within our function.

Mathematics

1 answer:

Zarrin [17]3 years ago

6 0

F(x) = a(x - h)³ + k

The parent graph is F(x) = x³

k - shifts the parent graph up k-units (or down if it is negative). This is also called a vertical shift.

h - shifts the parent graph to the right h-units (or left if it is negative). This is also called a horizontal shift.

a - stretches the parent graph vertically by a factor of "a"

Additonally, the coordinate (h, k) is the center/vertex of the graph.

You might be interested in

Determine the slope of the line that has the following coordinates: (1, 4)(2, -6)

timama [110]

Answer:

-10

Step-by-step explanation:

First use this equation: (y2 - y1) / (x2 -x1)

The y intercept is 14 so the slope is -10.

6 0

3 years ago

the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference

adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: $a=2$

Sum of first 15 terms: $S_{15}=292.5$

The formula of sum of first n terms of an AP is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Where, a is first term and d is common difference.

Putting $S_{15}=292.5$ , n=15 and a=2 in the above formula, we get

$292.5=\dfrac{15}{2}[2(2)+(15-1)d]$

$292.5=\dfrac{15}{2}[4+14d]$

$292.5=15[2+7d]$

Divide both sides by 15.

$\dfrac{292.5}{15}=2+7d$

$19.5=2+7d$

$19.5-2=7d$

$17.5=7d$

Dividing both sides by 7, we get

$\dfrac{17.5}{7}=d$

$2.5=d$

Therefore, the common difference is 2.5.

8 0

2 years ago

Round off the following numbers to the nearest thousand. 19. 674,620 20. 355,500

Oksana_A [137]

Answer:

1) 675,000.

2) 356,000

Step-by-step explanation:

There are some rules to round off to the nearest thousand.

1. While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’.

2. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is increased by 1.

We have given two numerals:

1)<u> 674,620</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

The answer is 675,000.

2) <u>355,500</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

The answer is 356,000....

4 0

3 years ago

What is the midpoint of the segment shown below (-11,0) (9,-1)

marissa [1.9K]

Answer:

(-1, -1/2)

Step-by-step explanation:

M= (Xa+Xb/2, Ya + Yb/2)

M= -11+9/2 , 0 + -1/2

M = -2/2, -1/2

M=(-1, -1/2)

6 0

2 years ago

Read 2 more answers

A=1/2bh. A=200ft. H=10. What is b

Svetllana [295]

Answer:

B= $\frac{2A}{H}$

Step-by-step explanation:

If you noticed, A= $\frac{1}{2}$ BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2( $\frac{1}{2}$ BH). On the left, you have 2×A= On the right side, you have 2( $\frac{1}{2}$ BH), but since you have a number in the equation, you will only use 2× $\frac{1}{2}$ . To solve 2× $\frac{1}{2}$ , you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.

(Your new equation looks like this by the way). 2A=BH

Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this) $\frac{2A}{H} = \frac{BxH}{H}$ . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with $\frac{2A}{H}$ = B. Now you can turn it around for your final answer. B= $\frac{2A}{H}$ .

Please let me know if i helped, how I did, and if you have any questions.

3 0

2 years ago