If the graph of the following parabola is shifted two units left and three units down, what is the resulting equation?
1 answer:
Answer:
Step-by-step explanation:
Because the x and y have been reversed in this equation, shifting the parabola to the left will be outside of the exponent and shifting up and down will be inside with the exponent.
The equation becomes .
Where subtracting by 2 moves it two units to the left and adding by 3 moves it 3 units down.
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A rational number is any number that can be written as the ratio between two other numbers i.e. in the form 
Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have
Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are
, 
, 
and 
so it makes sense to try and use those to build our number. In this case 
works nicely.
Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have
Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are