Answer:
a) We kindly invite you to read the explanation and check the image attached below for further details.
b) The rectangular equation is [tex]y = 3\cdot x^{2}-4[/tex].
Step-by-step explanation:
a) Let [tex]x = \sqrt{t}[/tex] and [tex]y = 3\cdot t -4[/tex] for [tex]t\in[0,4][/tex]. We proceed to graph the expression with the help of a graphing tool. In this case, the tool Desmos is used and the result is presented below.
b) The rectangular equation for the curve is:
[tex]t = x^{2}[/tex] (1)
[tex]y = 3\cdot t - 4[/tex] (2)
By applying (1) in (2), we get the following equation in rectangular form:
[tex]y = 3\cdot x^{2}-4[/tex]
