+0

# Parabola

0
100
1

The vertex of the parabola described by the equation 3y=2x^2+16x+28 is (m, n). What is m+n?

Jun 22, 2021

#1
+524
+2

$$3y=2x^2+16x+28$$

$$=2(x^2+8x+16)-2$$

$$y={2\over 3}(x+4)^2-{2\over 3}$$

This equation is similar to  $$y=a(x-h)^2+k$$  in which (h,k) is the vertex

⇒ (m,n) = (-4, -2/3)

$$m+n=-4-{2\over 3} = -{14\over 3}$$

Jun 23, 2021