Answer:
Parent function: y = sin(x)
Transformations:
1) horizontal translation of pi units towards left
2) stretch parallel to y-axis with factor "2'
3) vertical translations of 1 unit downwards
Range: [-3 , 1]
Step-by-step explanation:
Parent function: y = sin(x)
Transformations:
1) horizontal translation of pi units towards left
2) stretch parallel to y-axis with factor "2'
3) vertical translations of 1 unit downwards
Sketch the graph using 5 points listed below:
1) (0, -1)
2) (pi/2, -3)
3) (pi, -1)
4) (3pi/2, 1)
5) (2pi, -1)
Range: [-3 , 1]
Answer:
a) Josef jogging from A to B;
i. speed = 2 m/s
ii. velocity = 2m/s
a) a) Josef jogging from A to C;
speed = 1.9 m/s
ii. velocity = 2.2 m/s
Step-by-step explanation:
One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.
a) Josef jogging from A to B;
distance = 300 m
time = 2.5 seconds = 150 seconds
i. his average speed = 
= 
= 2 m/s
ii. his average velocity = 
= 
= 2 m/s
b) Josef jogging from A to C,
distance = 300 + 100 = 400 m
time = 2.5 + 1 = 3.5 minutes
= 210 seconds
i. his average speed = 
= 
= 1.9 m/s
ii. his average velocity = 
= 4 m/s
= 1.9 m/s
his average velocity = 
= 2.2 m/s
Answer:
D
Step-by-step explanation:
General Idea:
The Rules for Transformations of Functions are given below:
If f(x) is the original function, a > 0 and c > 0; Then


Applying the concept:
In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:
C.it stretches the graph vertically by a factor of 5