Which system of equations does this graph represent?

Question

madmerc · Answer

attachment

madmerc · Answer

@welshfella

madmerc · Answer

(A) $$y = x^2 − 6$$
$$y= -x - 4$$
(B) $$y = x^2 + 6$$
$$y = x + 4$$
(C) $$y = x^2 + 4$$
$$y = -x + 4$$
(D) $$y = x^2 - 6$$
$$y = x - 4$$

madmerc · Answer

@welshfella help

anonymous · Answer

im pretty sure it is D

madmerc · Answer

how do you know @heacain

welshfella · Answer

the curve is obtained by  translating  y = x^2  6 uniits down

madmerc · Answer

so it is D

anonymous · Answer

i used a graphing calculator to figure it out if you want to know search for desmos calculator put in the equations and see what ones match the graph

welshfella · Answer

you cant decide on D yet   y = (x - 6)^2 is correct   but you have to decide   which one is the straight line

welshfella · Answer

y = x - 4 or y = -x - 4

which one of these has a positive slope?

anonymous · Answer

x-4

welshfella · Answer

positive slope is / 
negative is \

anonymous · Answer

yah i know

welshfella · Answer

yes y = x-4  has positive slope of 1

compare it with general form , where m = slope:-
y = mx + c         a positive m means a positive slope
y  =  x  - 4

anonymous · Answer

do you want to see what i did?

welshfella · Answer

@beacam - its best that we show how to solve this problem from the theory of graphs rather than by  using software.

anonymous · Answer

yes but they give you software to use for this reason also

welshfella · Answer

software can help you confirm the theory  but it doesn't teach you the basic principles

anonymous · Answer

you are correct i agree