The vertex of the graph of y = -4(x + 3)2 + 2 is

The vertex is (-3, 2)

The equation y = -4(x + 3)^2 + 2 can be written as y = -4(x - (-3))^2 + 2

I rewrote x+3 as x - (-3)

Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k

Note how

a = -4

h = -3

k = 2

So the vertex is (h,k) = (-3, 2)

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.