What are the vertex and x-intercepts of the graph of y=(x-4)(x+2)? a. x-intercepts: (4,,0) b. vertex: (-1,-5) c. vertex: (1,-9) d. vertex: (1,9) e. x-intercepts: (-4,,0) f. x-intercepts: (-4,,0)

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.

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