Question 1080841
i believe it's going to be:


x = t


y = t^2 + 10


using the desmos.com calculator, you would graph this as (t,t^2+10)


desmos.com graphing calculator can be found at <a href = "https://www.desmos.com/calculator" target = "_blank">https://www.desmos.com/calculator</a>


when you graph a function of t, you have to include the limits of t.
in this case i chose -1000 to 1000


in fact, there is no limit to t in this set of equations, so my choice was arbitrary, but i gave t enough range to show the graph accurately based on the scale of the graph.


there are 3 graphs to show below.


the first graph is graphing the function of (t,t^2+10)


the second graph is graphing the function of y = x^2 + 10


the third graph is graphing both functions to show you that they create the same identical graph.


<img src = "http://theo.x10hosting.com/2017/051202.jpg" alt="$$$" </>


<img src = "http://theo.x10hosting.com/2017/051203.jpg" alt="$$$" </>


<img src = "http://theo.x10hosting.com/2017/051204.jpg" alt="$$$" </>


in fact, though, the limits on t will determine how much to graph.


for example, if i had set the limits of t to go from -5 to 5, then the graph of the parametric equation would have been limited as follows:


x = t would allow the value of x to go from -5 to 5.


y = t^2 + 10 would allow the value of y to go from 10 to 35.


that graph is shown below:


<img src = "http://theo.x10hosting.com/2017/051205.jpg" alt="$$$" </>