Find the equation of the axis of symmetry for the parabola y = x ^2 −2x −52 .

x = 1

Step-by-step explanation:

Recall that the axis of symmetry of a vertical parabola is given by

        -b

x =

         2a

Here we have the equation   y = x^2 − 2x −52, for which:

a = 1; b = -2; and c = -52.

The axis of symmetry of this parabola is:

        -(-2)

x = = 1

         2(1)

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers