Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3? A. B. C. D.

is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

where is the vertex of the parabola and

are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of is positive.

Let

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

Putting value of a and h in the equation:

Formula used:

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing and

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5