What is the vertex of the graph of the function below? y = x2 - 8x + 12 A. (-2, 0) B. (-4, -4) C. (-4, 0) D. (-2, -4)
1 answer:
To find the vertex of the parabola, we need to write it in a vertex form.
y=x² - 8x +12
1) complete the square
y=x² - 8x +12
y = x² -2*4x + 4² - 4² +12
y=(x-4)² -16 +12
2) calculate and write a vertex
y=(x-4)² -16 +12
y=(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)² - 4 -------y- coordinate of the vertex y = - 4
Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
y=x² - 8x +12
1) complete the square
y=x² - 8x +12
y = x² -2*4x + 4² - 4² +12
y=(x-4)² -16 +12
2) calculate and write a vertex
y=(x-4)² -16 +12
y=(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)² - 4 -------y- coordinate of the vertex y = - 4
Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
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