Write each of the equations below in standard form (i. e. y = ax^2+bx+c y=ax 2 +bx+c): a. y = 3(x-7)(x+4) y=3(x−7)(x+4) b. y = 2(x-3)^2 + 5 y=2(x−3) 2 +5 c. y = -2(x+3)(x+5) y=−2(x+3)(x+5) d. y = -3(x-4)^2 + 8y=−3(x−4) 2 +8

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel