Question

PLEASE HELP ASAP!!

Look at the graph of the function f(x).
Which statements regarding the parabola's axis of symmetry are true? Select all that
apply.

A. The axis of symmetry is the line represented by x =
0.

B. The y-axis is the axis of symmetry.

C. If the point (a,b) is a point on the parabola, then the point (-a,b) is also a point on the parabola, because it is a reflection over the axis of symmetry.

D. The X-axis is the axis of symmetry.

Answer 1

Options A, B, C

Explanation:

From the graph attached,

Vertex of the given quadratic function → (0, 1)

Therefore, axis of symmetry → x = 0

Option A

Axis of symmetry ix the line represented by x = 0.

True

Option B

The y-axis is the axis of symmetry.

Line represented by x = 0 is the y-axis.

True

Option C

If the point (a, b) is a point on the parabola, then the point (-a, b) is also a point on the parabola, because it is a reflection over the axis of symmetry.

Rule for the reflection over y-axis is given by,

(x, y) → (-x, y)

Therefore, coordinates of the point (a, b) after reflection over the y-axis will be,

(a, b) → (-a, b)

True

Option D

The x-axis is the axis of symmetry.

False