Fill in each blank so that the resulting statement is true T

Fill in each blank so that the resulting statement is true. The pair of equations x = squareroot t and y = 2t - 1 are called equations and the common variable t is called the. The graph of this pair of equations is called a(n). The pair of equations x = squareroot t and y = 2t - 1 are called equations and the common variable t is called the The graph of this pair of equations is called a

Solution

These are parametric equations and , \'t\' is the parameter

Now lets find the x-y equation from the parametric equations:

x = sqrtt ; y= 2t -1

square the first equation : x^2 =t

substitute t in y = 2t-1

y = 2x^2 -1

The equation we got is of parabola

The graph of the pair of equations is parametric curve