SOLUTION: What are two different sets of parametric equations for y = x� + 10?

Question 1080841: What are two different sets of parametric equations for y = x� + 10?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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 https://www.desmos.com/calculator

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.

$$$

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:

$$$

RELATED QUESTIONS
Can you think of two different sets of parametric equations for y = x� + 10? (answered by rolling_meadows,estron7)

find two different sets of parametric equations for x + y� =... (answered by ikleyn)

find two different sets of parametric equations for x� + 4y� - 16 = 0 (answered by ikleyn)

Find two different sets of parametric equations for the rectangular equation given.... (answered by math_tutor2020)

Give two parametric representations for the equation of the parabola. y = (x + 1)2 -... (answered by Fombitz)

write parametric equations of... (answered by jim_thompson5910)

x = 2t y = t + 5, -2 ≤ t ≤ 3 Graph these two pairs of parametric... (answered by jim_thompson5910)

Find parametric equations for the rectangular equation: (x+2)^2 =... (answered by galactus)

Given the parametric equations x = t^2, y = t^3/10 plot the section of the graph y... (answered by Fombitz)