Reflections and translations are instances of transformation.
<em>The rule of function g for the given reflection and translation is </em><em />
<em />
Given
<u>The rule of translating 5 units up is:</u>
So, we have:
<u>The rule of reflecting about the y-axis is:</u>
So, we have:
Hence, the rule of function g is:
Read more about function transformations at:
Answer:
Step-by-step explanation:
Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.
e.g:
Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:
We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have: