Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
A constant can either shift the graph up or down. If coefficient is less than 1 it will make the graph wider, if it's more than 1 it will make graph more narrow
Answer:
360 miles
Step-by-step explanation:
if each inch represents 30 miles and you need to find out how far 12 inches isyou need to multiply 30 x 12 = 360
Answer:
Step-by-step explanation:
Let t represent the number of teachers.
We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.
Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.
So, Noor gave 15 sheets to 45 students.
We have been given that Noor wants to give 
sheet to each teachers, so the number of sheets given to t teachers will be 
.
As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.
We can represent this information in an inequality as:
Therefore, the inequality represents the number of teachers ,t, Noor could give sheets of stickers too.
Answer:
132
Step-by-step explanation:
Let x represent the amount of silk-screened shirts Joel sold:
176 = x + 3x
176/4 = x
44 = x
tie dyed shirts = 3x
= 3 * 44
= 132
