Answer: A
Step-by-step explanation:
Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²
Answer:
B)-20
Step-by-step explanation:
Answer:
you should follow this step but this is a different one.just follow the step
Step-by-step explanation:
Simplifying 4(5x + -6) = 16 Reorder the terms: 4(-6 + 5x) = 16 (-6 * 4 + 5x * 4) = 16 (-24 + 20x) = 16 Solving -24 + 20x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 20x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = 16 + 24 20x = 16 + 24 Combine like terms: 16 + 24 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
