Question

Which function is a parabola?

F(x)=5-x^2

X - 2 -1 -0 0 3
G(x) 3 0 -1 0 3

1. F(x) only
2. G(x) only
3. Both f(x) and g(x)
4.neither

Answer 1

The function F(x) is a parabola because it is in the form of y = ax^2 + bx + c, which is the standard form of a quadratic equation. In this case, a = -1, b = 0, and c = 5, which means the parabola opens downwards and has a vertex at (0, 5).

The function G(x) is not a parabola because it does not have a quadratic term (x^2). Instead, it appears to be a piecewise linear function with three line segments.

Therefore, the answer is 1. F(x) only.

Answer 2

• 1. F(x) only

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F(x) is in the format of a quadratic function:

• y = ax² + bx + c, with a = - 1, b = 0, c = 5

Hence it is a parabola.

The table represents a relation with two x-intercepts and two y-intercepts (points with the coordinate of 0).

We know that parabola can have maximum of one y-intercept, hence G(x) is not a parabola.

The matching answer choice is the first one.