Answer:


Step-by-step explanation:
Given


Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:

So:




When a point is translated 2 units down, the rule is:

So:





So, the new coordinates are:


Answer:
<h2>- 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
We have

Therefore the slope is equal to -2.
It looks like the parabola are going down, so the coefficient should be negative,
B or C,
then we see that the parabola has x -intercepts (1,0) and (5,0)
these roots should be written as multiples
x=1, so x-1=0
and
x=5, so x-5=0,
so (x-1)(x-5) and negative first coefficient -2 at the same time.
We can see only in the
B. <span>f(x) = –2(x – 5)(x – 1)</span>
Answer:
The center of the circle is

Step-by-step explanation:
Let the equation of the circle be
, where (-a,-b) is the center of this circle.
The points lying the circle must satisfy the equation of this circle.
A(0,0)
We substitute this point to get;


B(-3,0)



But c=0


C(1,2)



Put the value of 'a' and 'c' to find 'b'




b=-2
Hence the center of the circle is

Y=-1/3x-6, for this line, the slope (m) is -1/3.
This is because the equation is in the slope intercept form: y = mx + b.
The perpendicular line to one with m = -1/3, is the negative reciprocal of m, we'll call it m2.
m2 = --3/1 = +3/1 = 3