What is the vertex of the equation, y= -3x^2+2x-7? a. (1/3, -20/3) b. (-1/3, -20/3) c. (-1/3, -19/3) d. (1/3, -19/3)

A

Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

The x-coordinate of the vertex is

= -

y = - 3x² + 2x - 7 is in standard form

with a = - 3, b = 2 and c = - 7, hence

= - =

Substitute this value into the equation for y-coordinate

y = - 3 ()² + 2 ( ) - 7

  = - + - = -

vertex = ( , - ) → A

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

-2x-4

step-by-step explanation: