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stiv31 [10]
2 years ago
7

What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 1/6x2 - 9?

Mathematics
1 answer:
kaheart [24]2 years ago
3 0

Using shifting concepts, it is found that the correct option is:

B. The graph of f(x) is vertically compressed by a factor of 6 and shifted 9 units down.

---------------------------

  • The parent function is f(x) = x^2.
  • The first transformation is a multiplication by 1/6. Multiplying by 1/a is the same as vertically compressing by a factor of a, thus, it was vertically compressed by a factor of 6.
  • Then, 9 was subtracted. When a is subtracted from the function, it means that it was shifted down a units, thus, it was shifted down 9 units, and the correct option is B.

A similar problem is given at brainly.com/question/24465194

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A line goes through the points (4, 5) and (2, -6). Write the equation of the line in slope-intercept form. ​
myrzilka [38]
3/4 & 1/-3 would be the answer
7 0
3 years ago
Problem 2.9 a runner completes the 200-meter dash with a time of 20.19 seconds. part a what was the runner's average speed in me
Elina [12.6K]

Answer:

Average speed = 9.91 m/s

Explanation :

Total distance covered by a runner = 200 m

Time taken to complete this distance = 20.19 sec

We need to find the average of runner speed in meter/sec

We use the speed,  distance, time formula

speed = \frac{distance}{time}

speed = \frac{200}{20.19}

Average speed = 9.91 m/s

that's the final answer.

I hope it will help you.



8 0
3 years ago
2. Mrs. Siebenaller bought a “bus” for $25,000 with a 7% interest rate. Mrs. S. gets a loan to pay off in 5 years. How much inte
PSYCHO15rus [73]

Answer: the correct option is A

Step-by-step explanation:

Cost of the bus is $25000. She took a loan of $25000 to be paid of in 5 years at an interest rate of 7%.

The formula for simple interest is expressed as

I = PRT/100

Where

I = interest

P = principal or initial amount borrowed

T = time in years

R = interest rate in percentage

From the information given,

P = 25000

R = 7%

T = 5 years

Therefore

I = (25000 × 7 × 5)/100 = 875000/100

I = $8750

3 0
3 years ago
Read 2 more answers
In a shipment of new books for a library 3/12 of the books were poetry and 2/5 of the books were biographies . The remainder of
Pepsi [2]

Answer:

Step-by-step explanation:

2/5x3/12=6/36

6 0
3 years ago
The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

  • the perimeter of a rectangular field is 84 yards
  • the ratio of the length to the width is 2:1

To find:

  • the length
  • the width
  • the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0
3 years ago
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