A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
Answer:
220
Step-by-step explanation:
Easy!
Multiply 55 by 4!
2
55
x 4
--------
220
five times 4 is 20, so put 0 then regroup the 2. Then, 5 times 4 again, but add two!
Answer:
When x is 0, y is 0.
When x is 1, y is 4.
Step-by-step explanation:
Simply multiply 4 times the x value given in the table and you will get y.
Answer:
ithink its A miight be wrong tho hope it helps in someway ig idk
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
f(x) = 3 1/3x + 35 slope: 3 1/3, y-intercept = 35
f(x) = mx + b
slope↑ ↑y-intercept
