Study: Transformning Functions Notice that the graph of g(x) = (x + 7)2 is shifted 7 units to the left of the parent
function, and the graph of h(x) = (x - 3)2 is shifted 3 units to the right,
Check Your Understanding
Attempt 1 of 2
What is the effect on the graph of f(x) = x2 when it is transformed to g(x) = (x + 8)2?
A. It shifts 8 units to the right.
B. It shifts 8 units down.
O C. It shifts 8 units up.
OD. It shifts 8 units to the left.
HINT
SUBMIT

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.