4.13 Homework: graphing quadratic functions ii

$y=x^2$

$y=x^2+\mathrm{6x}+5$

Plot at least three points to verify your answer to #2.

$y=x^2-\mathrm{8x}+\text{16}$

$y=x^2-7$

$y+x^2=\mathrm{6x}+3$

Use a graph on the calculator to verify your answer to #6.

$y+x^2=x^2+\mathrm{6x}+9$

$y=-{\mathrm{2x}}^2+\text{12}x+4$

$x={\mathrm{3y}}^2+\mathrm{6y}$

$x^2+y^2=9$

Explain in words how you can look at any equation, in any form, and tell if it will graph as a parabola or not.