Question

A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2.

Select the graph that matches the description.

Answer 1

The answer is d. The y-intercept is at 4, the parabola is at 0 and the axis of symmetry is x=-2.

Answer 2

Graph represented by option D is the correct choice.

Explanation:

We have been given that a parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at
`x=-2`.

Since the minimum value of our given parabola is 0, so y-coordinate of vertex of parabola would be 0. This means that vertex of parabola will be at x-axis.

Since Since the minimum value of our given parabola is 0, so our parabola will be upward opening.

We are also told that parabola has an axis of symmetry at
`x=-2`. This means that parabola will be symmetric about line
`x=-2`.

The y-intercept of parabola is 4. This means that parabola will intersect y-axis at point
`(0,4)`.

Upon looking at our given choices, we can see that option D is the correct choice as it meets all the given conditions.