Question

Consider the following function. Complete parts (a) through (e) below.y = - 2x2 + 4x+11The parabola opens downward.The parabola opens upward.b. Find the vertex.The vertex is (1.13).(Type an ordered pair.)c. Use the quadratic formula to find the x-intercepts.The x-intercept(s) is/are(Type an integer or a decimal rounded to the nearest tenth as needed. Use acomma to separate answers as needed.)

Answer 1

a. The parabola opens downward

b. vertex is (1, 13)

c. x-intercepts are (-1.6, 0) and (3.6, 0)

Step-by-step explanation:

If a parabola is described by an equation of the following form,

`y=ax^2+bx+c`

then the parabola opens downwards if a < 0. The parabola opens upward if a >0.

Now in our case, the parabola we have is

`y=-2x^2+4x+11`