Kyle received 60/100 on his algebra test. If he scored 3 points, how many points was the test out of? Answer is 5.
Answer:
<h2>A) a - 1 and B) a + 2</h2>
Step-by-step explanation:
Answer:It is the second option
Step-by-step explanation:
The general form for a sine function is
y = A*sin(B(x-C)) + D
where,
- |A| = amplitude
- B = 2pi/T, with T being the period, so T = 2pi/B
- C = phase shift
- D = midline
Put another way,
- A affects how vertically tall the sine graph is
- B tells when the graph will repeat itself, or how long one cycle is
- C determines the left and right shift of the graph
- D determines the up and down shift of the graph
For example,
y = 3sin(2(x-5)) + 10
has
- A = 3, so the amplitude is |A| = |3| = 3, meaning the original parent function has been vertically stretched by a factor of 3.
- B = 2 which leads to T = 2pi/B = 2pi/2 = pi as the period. The period is half as much as the parent function's period of 2pi radians, so the graph is horizontally compressed by a factor of 2.
- C = 5 is the phase shift telling us to move the parent function 5 units to the right
- D = 10 tells us to move the parent function 10 units up
The same basic idea applies to cosine graphs as well because cosine is a cofunction of sine.
