Finding the height of a ball modeled with $f(x) = -2(x-1)^2+7$.
The position of a ball after it is thrown is modeled with the function $$f(x) = −2(x−1)^2 +7$$ in vertex form, where $y$ is the height (feet above ground) and $x$ is the horizontal distance (feet) of the ball from where it is thrown.
What is the height of the ball when it is thrown? Which form of the function did you use?
Explain why you used this form of the function to answer the question.
$$ y=-2 (x-1)^2 +7$$ Plug in $x=0$ , $y= 5$.
The parabolic trajectory corresponds to a ball thrown ( a projectile) before attaining its maximum height $y=7$ at $x=1$.