Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)?

Mathematics

1 answer:

Nikitich [7]2 years ago

6 0

Answer:

Graph will open same way and is narrower.

Step-by-step explanation

If: f(x)= x^4

f(-2x)= (-2x)^4

Negative sign usually flips the graph and make it open to the opposite direction. In this case since the function is to the 4th degree and the negative sign is included. The negative is basically ignored.

The term in front of x (a) determines how wide the graph opens. The bigger the a value the faster the slope increases so the narrower the graph opens.

Think if the slope is 4 vs 1/4.

Hope this helps

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rosijanka [135]

Answer:

increase

Step-by-step explanation:

Given data is: 71, 67, 67, 17, 69, 84, 21, 87

Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87

Here N = 8 (Even number)

N/2 = 4 and N/2 + 1 = 5

4th term = 67, 5th term = 69

-> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66

Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87

Here, 4th term = 69, 5th term = 71

New median = (69 + 71)/2 = 140/2 = 70

-> new median > initial median

CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.

5 0

2 years ago

Please help QUICKLY!! Thanks you!!<br><br><br> Find X

Ann [662]

Hello!

∠GCE = 14° (corresponding angles)
∠GEC = 180° - 78° - 14° (sum of angles in a triangle)
∠GEC = 88°
4x + 88° = 180°
4x = 180° - 88°
4x = 92°
x = 23°

7 0

3 years ago

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KonstantinChe [14]

Answer:

14.387

Step-by-step explanation:

7 0

2 years ago

How can i converted 4 7/10 to an improper fraction

BartSMP [9]

The whole number multiply by the denominator and add to the numerator.

$4\dfrac{7}{10}=\dfrac{4\cdot10+7}{10}=\dfrac{40+7}{10}=\dfrac{47}{10}$