Find the solution to the system of equations
−8x+4y=24

−7x+7y=28

answer

x = -2

y = 2

simply the equations and rewrite both in terms of y

−8x + 4y = 24  divide both sides by 4

-2x + y = 6

y = 2x + 6

−7x+7y=28  divide both sides by 7

-x + y = 4

y = x + 4

set both equations equal to each other

y = 2x + 6

y = x + 4

y = 2x + 6 = x + 4

solve

2x + 6 = x + 4 subtract x from both sides

x + 6 = 4

x = -2

plug x back into one of the equations

x = -2

y = x + 4

y = -2 + 4

y = 2

x = -2, y = 2

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1