For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. y = -2x2  + 2x +2 show the steps so i can see how you got your answer and understand it a little more. you! : ) correct answer will get branliest answer

we have that

y = -2x² + 2x +2

Group terms and move the constant to the opposite side of the equation

y -2 = -2x² + 2x

Factor the leading coefficient

y -2 = -2(x²-x )

Complete the square. Remember to balance the equation by adding the same constants to each side

y -2 -0.25*2= -2(x²-x+0.25 )

y -2.50= -2(x²-x+0.25 )

Rewrite as perfect squares

y -2.50= -2(x-0.50)²

Part a) The equation of a parabola in vertex form is. y=a(x−h)2+k

so

y -2.50= -2(x-0.50)²> y = -2(x-0.50)²+2.50

the answer Part a) is

y = -2(x-0.50)²+2.50

part b) Find the vertex

we know that the vertex is the point (h,k)

so

(h,k) is the point> (0.50,2.50)

the answer part b) is

the vertex is the point (0.50,2.50)

Part c) find the value for x = 6

y = -2(x-0.50)²+2.50> y = -2(6-0.50)²+2.50> y = -2(5.50)²+2.50

y=-60.50+2.50> y=-58

the answer Part c) is

-58

yes

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.