Find the vertex of the graph of the function. f(x) = 3x^2 - 18x + 24

(3, - 3 )

Step-by-step explanation:

Given a quadratic in standard form

f(x) = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

= -

f(x) = 3x² - 18x + 24 ← is in standard form

with a = 3, b = - 18

= - = 3

Substitute x = 3 into the equation for corresponding value of y

f(3) = 3(3)² - 18(3) + 24 = 27 - 54 + 24 = - 3

vertex = (3, - 3 )

Step-by-step explanation:

f(x) = 3x² - 18x + 24

f(x) = 3(x²-6x +8)

f(x) = 3 ((x² -6x+9) - 9) +8)

f(x) = 3 ( (x-3)²- 1 )

f(x) = 3(x-3)² - 3

note : the vertex of the graph of the function. f(x) = a(x-h)² + k is the point : (h;k)

in this exercice the vertex is : (3; -3 )

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas