The function f(t) = 4t2 − 8t + 8 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t). (1 point)

So then we see that the required values are:

And the vertex for this case would be:

Step-by-step explanation:

For this case we have the following function given:

And we want to wrote this equation in the form a(x − h)2 + k

We can divide both sides of the equation and we got:

Now we can comple the square in the rigth part with this:

And now we can multiply both sides by 4 and we got:

So then we see that the required values are:

And the vertex for this case would be:

there are no short passages to look at

the function makes a strait line horizontally with no x intercept but a y intercept at 9.