What is the directrix of the following graph?
x = -3
y= 3
y = -3
x = 3

y = 3

Step-by-step explanation:

The vertex of the parabola is (1,4) and the axis of the parabola is parallel to the positive y-axis.

So, the equation of the parabola will be (x - 1)² = 4a(y - 4) (1)

Now, we have to get the value of a since the equation id the directrix is y = 4 - a.

Now, the parabola passes through the point (3,5) {Obtained from the graph).

Therefore, from equation (1), we get, 2² = 4a × 1, ⇒a = 1

Therefore, the equation of the directrix is y = 4 - 1 = 3. (Answer)

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step-by-step explanation: