The derivation for the equation of a parabola with a vertex at the origin is started below.

=
(x)2 + (y – p)2 = (0)2 + (y + p)2
x2 + y2 – 2py + p2 = y2 + 2py + p2
If the equation is further simplified, which equation for a parabola does it become?
x2 = 4py
x2 = 2y2 + 2p2
y2 = 4px
y2 = 4py

"the children's hour" by henry wadsworth longfellow between the dark and the daylight, when the night is beginning to lower, comes a pause in the day's occupations, that is known as the children's hour. i hear in the chamber above me the patter of little feet, the sound of a door that is opened, and voices soft and sweet. from my study i see in the lamplight, descending the broad hall stair, grave alice, and laughing allegra, and edith with golden hair. a whisper, and then a silence: yet i know by their merry eyes they are plotting and planning together to take me by surprise. a sudden rush from the stairway, a sudden raid from the hall! by three doors left unguarded they enter my castle wall! they climb up into my turret o'er the arms and back of my chair; if i try to escape, they surround me; they seem to be everywhere. they almost devour me with kisses, their arms about me entwine, till i think of the bishop of bingen in his mouse-tower on the rhine! do you think, o blue-eyed banditti, because you have scaled the wall, such an old mustache as i am is not a match for you all! i have you fast in my fortress, and will not let you depart, but put you down into the dungeon in the round-tower of my heart. and there will i keep you forever, yes, forever and a day, till the walls shall crumble to ruin, and moulder in dust away! which literary device does longfellow use most frequently in the poem? a. simile b. metaphor c. repetition d. personification

The boy and the wolf by james baldwin one day word came that a savage wolf had been seen in the forest. "how i should like to meet that wolf," said little gilbert. he was only seven years old, but now all his thoughts were about the savage beast. "shall we take a walk this morning? " asked his mother. "oh, yes! " said gilbert. "perhaps we may see that wolf among the trees. but don't be afraid." his mother smiled, for she felt quite sure that there was no danger. what point of view does the author use in this selection?

Review the allusion which best interprets the meaning of the allusion 1 the man is thick and jolly 2 the man is crabby and unfriendly 3 this man works as a santa claus impersonator 4 the man is generous to others