Answer: Distance of earth from star =
Step-by-step explanation:
Given: A certain star is light years from the Earth.
One light year is about miles.
Distance of earth from star =
Hence, Distance of earth from star =
If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function?
1 answer:
You might be interested in
Answer:
- The smaller one is x = 3
- and the larger one is x = 6
Step-by-step explanation:
A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.
A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.
_____
Setting the derivative to zero is another way to find the points with zero slope:
f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)
The derivative will be zero where the factors are zero, at x=3 and x=6.
The critical numbers are x=3 and x=6.
