Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?

the vertex is at (2, 8) and the axis of symmetry is x = 2

Step-by-step explanation:

In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:

h(x)=−2x^2+8x      

This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.

The axis of symmetry equation is x = -b/ (2a).

                                                                                                -8

Here, with a = -2 and b = 8, the axis of symmetry is   x = = 2

                                                                                               2(-2)

To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining

h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8

In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540