Find the x-intercepts of the parabola withvertex (1,1) and y-intercept (0,-3).write your answer in this form: (x1,if necessary, round to the nearest hundredth.

Step-by-step explanation:

The vertex form of a parabola is given by:

, where V(h,k) is the vertex of the parabola.

The given parabola has vertex (1,1).

This implies that: .

Put these values into the vertex form equation.

The y-intercept of this parabola is: (0,-3).

This point lies on the parabola hence it must satisfy its equation.

The equation now becomes

To find the x-intercept, put y=0 into the equation:

Divide through by -4.

Take plus or minus square root of both sides.

or

or

Therefore the x-intercepts are:

To the nearest hundredth, we have