<em>Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.</em>
Answer:
The ordered pairs (1/2, 0) and (0, 1) are on the graph.
The graph is also attached.
Step-by-step explanation:
Given the function
Any ordered pair which may satisfy the equation would lie on the graph.
Let us determine the x and y-intercepts.
<u>Determining the x-intercept</u>
We know that the x-intercept can be determined by setting y=0, and the solving for x. so
0 = -2x+1
-2x = -1
Divide both sides by -2
x = 1/2
Thus, the x-intercept is (1/2, 0)
<u>Determining the y-intercept</u>
We know that the y-intercept can be determined by setting x=0, and the solving for y. so
y = -2(0)+1
y = 1
Thus, the x-intercept is (0, 1)
Thus, the ordered pairs (1/2, 0) and (0, 1) are on the graph.
The graph is also attached.
Answer:
C:
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
If the unknown value is x, then x = × 6 = 21.
Explanation: