For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².
f ( x ) = a · x²
- If |a| < 1 the graph is compressed vertically by a factor of a.
- If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/2 < 1
Answer:
C. The graph will be compressed vertically.
Answer:
slope = 1
m = 1
Step-by-step explanation:
We count rise over run = 1/1
m = 1
y = x
A + C
(-5, -7) is 7 units to the left of point H
(-7, 7) is more than 7 units up and left of point H
the x axis is at (infinity, 0), being only 7 points up from point H
Answer:
see explanation
Step-by-step explanation:
If (x + 1) is a factor then f(- 1) = 0
f(- 1) = 19
+ 18(- 1) - 1 = 19 - 18 - 1 = 0
Thus (x + 1) is a factor of f(x)
Answer:
OPTION C: 60%
Step-by-step explanation:
Chances of raining the next day + Chances that it will not rain = 100%
One of them should definitely be true.
So, if the chance of it raining tomorrow is 40% then there is 60% chance that it will not rain tomorrow.
This can also seen as follows:
Probability of rain tomorrow + Probability of no rain = 1
Given Probability of rain tomorrow = 40% = 
Probability of no rain tomorrow = 1 - Probability of rain tomorrow
⇒ Probability of no rain = 1 - 
⇒ Probability of no rain = 
Expressing it as percentage:
= 60%.