Question

Write the equation of the function. is it y = x2 / 6 - 3x /2 + 13/3 ?

Answer 1

Yo sup??

Since there is an x^2 term therefore this equation is of a parabola

By taking LCM and then cross multiplying it.

6y=x^2-9x+26

6y=x^2-9x+(9/2)^2+23/4

6y-23/4=(x-9/2)^2

we see that this is of the form

X^2=4AY

(x-9/2)^2=4(3y/2-23/16)

Hope this helps.

Answer 2

Answer:

$f(x) =- \sqrt{x-1}+3$

Step-by-step explanation:

This looks like a square root function $f(x) = \sqrt{x}$  but symmetric with respect to the x axis and shifted to the right for 1 and up for 3:

Lets take  $f(x) = \sqrt{x}$ . The function symmetric with respect to the x axis would be $-f(x)$, so now we have:

                                                $f(x) = -\sqrt{x}$

Lets take $f(x) = -\sqrt{x}$ and shift it up for y = 3. Now we have:

                                               $f(x) =- \sqrt{x}+3$

Lets take $f(x) = -\sqrt{x}+3$ and shift it right for x = 1. That means that instead of x we will have x-1:

                                            $f(x) =- \sqrt{x-1}+3$