Answer:
y = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, 5)
m = = = 0
This indicates the line is horizontal and parallel to the x0 axis.
The equation of a horizontal line is
y = c
where c is the value of the y- coordinate the line passes through
The line passes through (- 2, 5) and (3, 5) both y- coordinates of 5, thus
y = 5 ← equation of horizontal line
Complete the math in the brackets (4a + 1)
Multiple each term in the brackets by 4a
4a (8a - 4a + 1)
4a (4a + 1)
16a^2 + 4a
Ok
so the focus is on the opening side of the parabola
so for a vertex of (h,k)
opening up and down
(x-h)²=4p(y-k)
p is the distance from vertex to focus
it is also the distance from the vertex to the closes point on directix
2p=distance from focus to directix
p is positive if the focus is above the directix
ok
y=9 and (7,6)
9>6
directix is above the vertex
p is negative
find distance
from 9 to 6 is 3
3=2p
1.5=p
p is negative
and the vertex will be 1.5 above the focus and 1.5 below the directix
vertex is (7,7.5)
(x-7)²=4(-1.5)(y-7.5) is de equation
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
When a point is reflected across the y-axis, the y-coordinate remains the same and the x-coordinate gets multiplied by -1.
(-4, -1) => (4, -1)
(2, 6) => (-2, 6)
The reflected points are (4, -1) and (-2, 6).