Question

will mark brainliest for the correct answer! just read the english, okay? the other language is the translation for the english.

Answer 1

Answer:

Step-by-step explanation:

Given equation is,

y = 3x² - 6x + 11

a). y = 3x² - 6x + 11

       = 3(x² - 2x) + 11

       = 3(x² -2x + 1 - 1) + 11

       = 3(x² - 2x + 1) - 3 + 11

       = 3(x - 1)² + 8

Comparing this equation with y = a(x - b)² + c

a = 3, b = 1 and c = 8

b). For minimum value of x,

    Since, vertex of the graph is given by (b, c),

    Minimum value of x will be,

    x = b

    x = 1

c). Vertex of the parabola → (b, c)

                                           → (1, 8)

    For y-intercept,

    By substituting x = 0 in the equation,

    y = 3(0 - 1)² + 8

    y = 11

Now we can sketch the graph by using the table of input - output values.

x         -2        -1           0            1             2          3

y        35        20         11           8            11         20