Question

Help! Algebra 1 axis of symmetry question!

Answer 1

A toy rocket was launched from the ground. The function f(x) = -16x2 + 192x shows the height of the rocket f(x), in feet, from the ground at time x seconds.

What is the axis of symmetry of the graph of f(x) and what does it represent?

x = 12; it takes 12 seconds to reach the maximum height and 12 seconds to fall back to the ground

x = 12; it takes 12 seconds to reach the maximum height and 24 seconds to fall back to the ground

x = 6; it takes 6 seconds to reach the maximum height and 6 seconds to fall back to the ground

x = 6; it takes 6 seconds to reach the maximum height and 3 seconds to fall back to the ground

Answer 2

Since it is symmetrical and it starts at zero, the time it takes to maximum height is equal to the time it takes to zero.

Answer 3

Okay, I think it's C. Is that correct?

Answer 4

to find the time it takes to reach zero again, just calculate -16x^2+192x = 0 you'll find two answers (0 and another).

Answer 5

the time to reach the top is half the time it takes to reach the ground again (it's in the middle of the graph, the axis of symmetry).

Answer 6

I thought you use the equation -b/2x ?

That finds the vertex, the x-coordinate, and then you substitute that into the equation to solve for y.

Answer 7

I emant -b/2a sorry :)

Answer 8

meant* haha