## Algebra 1

a) The red line is $2x^2-8$, and the blue line is the other function. b) $2x^2-8$, after factoring out a $2$, is the same function as $4x^2-4$.
Please see the graphs. $x^2-4=0$ $x^2-4+4=0+4$ $x^2 =4$ $\sqrt {x^2} = \sqrt 4$ $x=2, -2$ $2x^2-8=0$ $x^2-8+8=0+8$ $2x^2 =8$ $2x^2/2 =8/2$ $x^2 = 4$ $\sqrt {x^2} = \sqrt 4$ $x=2, -2$