1. Find the vertex of y = – x2 - 4x + 5

(- 2, 9 )

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

= -

y = - x² - 4x + 5 ← is in standard form

with a = - 1 and b = - 4, thus

= - = - 2

Substitute x = - 2 into equation for corresponding y- coordinate

y = - (- 2)² - 4(- 2) + 5 = - 4 + 8 + 5 = 9

vertex = (- 2, 9 )

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.