# Which of these is false about the quadratic function y = 12x2 + 12?

20. Which of these is false about the quadratic function y = 12x2 + 12?

A. It is a parabola that opens upward.

B. It is the parabola y = x2 shifted upward 12 units.

C. It is a parabola whose axis of symmetry is they axis.

D. It is a parabola whose vertex is the point (0, 12).

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• Anonymous
9 years ago

B is false. It is the parabola 12x2 shifted up 12 units, not x2.

• Statement B is false. It's actually the parabola y = 12x^2 shifted upward 12 units, which is very different from the parabola y = x^2. y = 12x^2 is much narrower (i.e. opens more slowly as it moves upward) than y = x^2.

• C

(im going to assume that B was just a typo)

if the axis of symmetry was the y axis, then x = -1 would not = x = 1

it would be it's mirror image

instead, x= n is the same whether n is positive or negative, so it's axis of symmetry is not y

• Anonymous
9 years ago

B wrong . But with 12x^2 not x^2 . Because width of graph are different in these two cases ; wider in x^2 .

Source(s): Experience