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Mathematics

1 answer:

mart [117]3 years ago

4 0

Answer:

Two different transformations happen. Rotation/Reflection and translation (I say rotation/reflection because they can both put the parabola where it is after being transformed)

(Rotation- 180 degrees)

(Reflection across its it's starting point)

Translation- pushed up 4 points from negative 4 to 0 on the y-axis

When you put the parent function into a graph it is positive so the u is opening upward and starts at -4. Both sides of the u go through the points (0,0)and (4,0).

But in the transformed function is negative so the u opens downward. The sides going through the points (0,-4) and (4,-4)

I hope this makes sense

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Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴ = 2⁽³⁻⁴⁾

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Then find the reciprocal and change the sign of the exponent.

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