According to the vertex and the directrix of the given parabola, the equation is:

<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:

In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the vertex is (1,4), hence:

The directrix is at y = 7, hence:


Hence, the equation is:


More can be learned about the equation of a parabola at brainly.com/question/26144898
Answer:
7-m
Step-by-step explanation:
The difference of m and 2
m-2
5 minus the difference of m-2
5-(m-2)
5-m+2
Collect like terms
7-m
Answer:
Only B,
Step-by-step explanation:
Because it is all addition it does not mater what order they are in,..
Answer:
36
Step-by-step explanation:
Pentagon has 5 sides
The formula for finding the sum of the measure of the interior angles is (n - 2) * 180
(5-2)×180= 3×180=540
To get each interior angles
540/5 = 108
180 -108 = 72
To get x
72+72+x= 180 (sum if angles in a triangle)
144+x= 180
x = 180 -144 = 36
2. x is part of the interior angles = 108
Answer:
<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>
Step-by-step explanation:
Given equation is 
<h3>To find the value of x :</h3>
First solving the given equation we have,









( by using the property
)
( by using the property
)

( by using the property
)
Since bases are same so powers are same
Therefore we can equate the powers we get x=3
<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>