The value of the directrix is -5/4.
According to the statement
we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.
We know that the general equation of parabola is
(y - k)2 = 4a(x - h) -(1)
and given parabola equation is
y2 = 5x. -(2)
After comparing the both equations we get k=0 and h=0
And the formula to find the directrix is
x = h - a
Substitute the values of h and a in it then
x = 0-5/4
x = -5/4.
Here the directrix is -5/4.
So, The value of the directrix is -5/4.
Learn more about the Parabola here brainly.com/question/4061870
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with that template in mind,

C = 2 B = 1 C/B = 2/1 or +2, horizontal left shift of 2 units
f(x) shifted left by 2 units is f(x+2).
Answer:
11 + 16n
Step-by-step explanation:
Collect the like terms
2 + 9 = 11
10n + 6n = 16n
11 + 16n is the final answer, and cannot be simplified further
Answer with Step-by-step explanation:
We are given that six integers 1,2,3,4,5 and 6.
We are given that sample space
C={1,2,3,4,5,6}
Probability of each element=
We have to find that 
Total number of elements=6
={1,2,3,4}
Number of elements in
=4

Using the formula

={3,4,5,6}
Number of elements in
=4

={3,4}
Number of elements in 

{1,2,3,4,5,6}

From the graph we can observe that G(x) is obtained by shifting F(x) 3 units to the left and 1 unit upwards.
Thus, both horizontal and vertical translations are involved. Horizontal translation of 3 units to left can be obtained by adding 3 to x in the equation and vertical translation of 1 can be obtained by adding 1 to the entire function.
So,
G(x) = F(x+3) + 1
G(x) = (x+3)² + 1
Thus the correct answer is option C