Jake tosses a coin up in the air and lets it fall on the ground. the equation that
models the height (in feet) and time in seconds) of the parabola is
- -16t2 + 24 + 6. when does the coin reach its greatest height?

The coin will reach the maximum height of 15 feet in second

Step-by-step explanation:

The equation that models the height (in feet) and time in seconds) of the parabola is

The coin will reach its greatest height at the parabola's vertex. Find the coordinates of the vertex.

From the function expression:

Now,

Then

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points