An object is thrown from a height of 8 in. After 3 seconds, the object reaches a maximum height of
12 inches and then it lands back on the ground 7
seconds after it was thrown. Write the vertex form
of the quadratic equation that models the object's
path, and draw the graph.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

d.) 48 units

step-by-step explanation: