Answer:
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
--- Point on A
--- Corresponding point on B
When A is reflected across the x-axis, the rule is:
So, we have:
Next, is to calculate the translation from to
This is calculated using:
and
So, we have:
---- i.e. Shift by 6 units to the left
--- i.e. Shift by 1 unit down
The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin and directrix is y² = 16x.
<h3>What is the parabola?</h3>It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
Given that the parabola's vertex is located at the origin and that the directrix is at x = -4, the focus is at (4,0).
Then the equation can be written as
On squaring both sides, we have
More about the parabola link is given below.
#SPJ4