Answer:
A. x-intercepts: (4,0),(-2,0)
C. Vertex: (1,-9)
Step-by-step explanation:
We have been given factored form of a quadratic equation . We are asked to find vertex and x-intercepts of our given equation.
We know that x-intercepts of a graph are those points at which graph touches or crosses x-axis and y-coordinates of x-intercepts are always zero.
So we will substitute in our given equation to find the x-intercepts.
Since y-coordinates of x-intercepts will be 0, therefore, x-intercepts of the graph will be (4,0), (-2,0) and option A is the correct choice.
To find the vertex of the parabola, we will expand our given expression using FOIL.
We will use formula to find the x-coordinate of vertex of parabola, where, a and b represents the coefficient of respectively.
Now we will substitute in the expression to find the y-coordinate of parabola.
Therefore, the vertex of parabola will be at point (1,-9) and option C is the correct choice.