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:
n = 18
Step-by-step explanation:
(2n) and (n + 18) are vertically opposite angles and are congruent, then
2n = n + 18 ( subtract n from both sides )
n = 18
The equation of a circle always follows this:
(x - x1) + (y - y1) = r^2
x1 and y1 represent the coordinates as POSITIVE numbers and the r represent the radius
Your answer is (x + 1) + (y - 4) = 3
Answer:
y = 2 -√(x+1)
Step-by-step explanation:
The square root function is reflected across the x-axis and shifted 1 unit to the left and 2 units up.
y = -√x . . . . . reflects the function across the x-axis
y = -√(x+1) . . . shifts the reflected function 1 unit to the left
y = 2 -√(x +1) . . . shifts the above function 2 units up
The graph is of the equation y = 2 -√(x+1).
Answer and Step-by-step explanation:
To find the surface area of a pyramid, start by multiplying the perimeter of the pyramid by its slant height. Then, divide that number by 2. Finally, add the number you get to the area of the pyramid's base to find the surface area.
