What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? a) f(x) = −one fourth (x − 1)2 + 1 b) f(x) = −one fourth (x − 1)2 c) f(x) = one fourth (x − 1)2 + 1 d) f(x) = one fourth (x − 1)2

Miranda is braiding her hair. then she will attach beads to the braid. she wants 1_3 of the beads to be red. if the greatest number of beads that will fit on the braid is 12,what other fractions could represent the part of the beads that are red?

Which of the following shows the length of the third side, in inches, of the triangle below

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap