Solve the system of equations:
y = 2x - 3
y = x2 - 2x - 8

Step-by-step explanation:

y = 2x - 3   (i)

y = x² - 2x - 8 (ii)

Substitute y = x² - 2x - 8 in equation (i)

x² - 2x - 8 = 2x - 3

x² - 2x - 8 - 2x + 3 = 0

x² - 2x -2x - 8 + 3 = 0

x² - 4x - 5 = 0

x² + 1x - 5x -5 = 0

x(x + 1) - 5(x + 1) = 0

(x + 1)(x - 5) = 0

x + 1 =0 ; x -5 = 0

x = -1     ; x = 5

When x  = -1;    y =2*(-1) - 3 = -2 -3 = -5

When x = 5;     y = 2*5 - 3 = 10-3 = 7

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.