Alright,
directix is y=something so it opens down or up
we use
(x-h)²=4p(y-k)
the vertex is (h,k)
and p is distance from focus to vertex
if focus is above directix, p is positive
if focus is below directix, p is negative
so we gts
focus=(1,1)
directix is y=-1
1>-1
focus is above
oh, vertex is in middle of focus and directix
so
beteeen (1,1) and y=-1 is, hmm
that is a distance of 2 vertically
2/2=1
1 down from (1,1) is (1,0)
vertex is (1,0)
p=1
so
(x-1)²=4(1)(y-0)
solving for y to get into f(x)=something form
(x-1)²=4y
y=1/4(x-1)²
f(x)=1/4(x-1)²
4th option
I think the question for this problem is to find the slope of the staircase. The slope is a ratio of change of the y-coordinates and x-coordinates of points. It is written as Δy/Δx especially in analytical geometry. It could also be simply the ratio of the rise or vertical height to the run or horizontal length.
Therefore, the slope of the stair case is
Slope = rise/run = 14/20 = 0.7
I can not see the trapezoid
The simplified form is 20x^2. Because you 2x*2, you get 4x. You multiply that by 5x, and then you get your answer.