MATHEMATICS MIDDLE SCHOOL

If h(x)=4X^2-16 were shifted 5units to the right and 2 down, what would the new equation be

Answers

Answer 1

Answer:

For this case we have that by definition of function transformation is fulfilled:

Let h> 0:

To graph $y = f (x-h)$ , the graph moves h units to the right.

To graph $y = f (x + h),$ the graph moves h units to the left.

Let k> 0:

To graph $y = f (x) + k$ , the graph k units is moved up.

To graph $y = f (x) -k$ , the graph moves k units down.

So, we have the following function:

$h (x) = 4x ^ 2-16$

5 units on the right:

$h (x) = 4 (x-5) ^ 2-16$

2 units down

$h (x) = 4 (x-5) ^ 2-16-2\nh (x) = 4 (x-5) ^ 2-18$

Answer:

$h (x) = 4 (x-5) ^ 2-18$

Answer 2

Answer:

Answer:

4(x - 5)^2 - 18.

Step-by-step explanation:

For a move 5 to the right f(x) ----> f(x - 5).

For a move of 2 down f(x - 5) ----> f(x - 5) - 2.

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Rupert drove home at an average rate of 58 miles per hour. Find his rate in feet per second.

Answers

To find this, you must first multiply 58 by the number of feet in a mile, 5280, to get a total number of feet. This comes out to 306,240 feet per hour. Next, you divide this by 60, since there are 60 minutes per hour, to find the rate of feet per minute, which comes out to 5,104 feet per minute. Finally, you divide this number by 60 again, since there are 60 seconds per minute, to get the final answer of a rate of about 85.0666... feet per second.

Find f

thanks for helping

Answers

It should be F=(C * 9/5) +32 I believe

for sale, a store decrease it's price on all items by 25%. An item that cost $ 120 before the sale now costs $120 - 0.25 ( $ 120 )

Answers

It would then cost $90 because 25% of $120 is $30

How is 40 gummy bears for 5 dollars written as a fraction?

Answers

40/5 because to find the answer you would divided them

40/5 you'd have to divide them together to see how much each gummy bear cost.

1. The graph shows the distance a car traveled, y, in x hours:

A coordinate plane graph is shown. The x-axis is labeled time in hours, and the y-axis is labeled distance in miles. The line

What is the rise-over-run value for the relationship represented in the graph? (4 points)

a.1 over 35
b.2 over 17
c.35
d.40

Answers

the answer is (1,35) or (2.70

Answer:

The answer is 35

Maren walks 3/5 miles in 24 minutes at a steady pace. How long does it take her to walk 2 miles.

Answers

It would take Maren 80 minutes, or 1 hr and 20 min. Just divide the 24 minutes by the 3 in the numerator, then find out how many 1/5's it takes to get 2 and multiply that by what you got as your quotient

With this, you have to set up a proportion. So find the decimal of 3/5 and set that equal to 24.
So this is what your proportion should look like: .6/24=x/2
Now you find how much she walks in one minute, so you divide .6 by 24 which is .025 of a mile. So now it will be .025 mpm. So now you multiply that by two.

She walks .05 miles in two minutes.

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