The answer is translation of 2 units left and a reflection over the x-axis.
The triangle is translated 2 units left because the triangle moved two units to the left and it is reflected over the x-axis because the bottom triangle is like a reflection of the original triangle.
Answer:
y= 4x+8
Step-by-step explanation:
Add 12x to both sides.
3y=24+12x
The equation is in standard form.
3y=12x+24
Divide both sides by 3.
3
3y
=
3
12x+24
Dividing by 3 undoes the multiplication by 3.
y=
3
12x+24
Divide 24+12x by 3.
y=4x+8
The ratio 4 to 7. would be 12 and 21
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is
. Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.




Upon substituting our given values in general cosine function, we will get:

Therefore, our required function would be
.