Answer:
1. >
2. <
Step-by-step explanation:
When a > 0, the graph opens upwards, or positively, because the way the line curves is determined by a.
When a < 0, the graph opens downwards, or negatively, for the same reason.
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
<em>Comment:</em> The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit <u>larger</u> than 4. g(5) = |5 - 1| = 4.
Answer:
2 times
Step-by-step explanation:
if you roll a die you have a 1/6 chance of rolling it, so you have 1/6 of 12, or two 4s.
Answer:
For the diagonal of the floor:
20^2 + 48^2= c^2
400+2304= c^2
c=52
For the diagonal of the cube:
52^2 + 10^2 = c^2
2704+100=c^2
c=52.95
Rounded= 53
Tell me if this helps!!!