<h3>
Answer: c. 8(y-6) = (x-2)^2</h3>
Explanation:
The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.
The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.
(h,k) = (2,6)
4p(y-k) = (x-h)^2
4*2(y-6) = (x-2)^2
8(y-6) = (x-2)^2
Answer: c and e
Step-by-step explanation:
Answer:

Step-by-step explanation:
The axis of symmetry can be calculated using the formula:

First we must determine a and b from the quadratic:
. This is in standard form, with the highest power first in descending order.
Standard form is also: 
If we compare this to the quadratic given, we can conclude that:

Substitute the values for a and b into the formula.

Multiply in the denominator.

Divide.

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.
Answer:
2.2
Step-by-step explanation: