As you have seen, sometimes a parabola and a line never intersect. However, if a parabola and a line do intersect, how many different intersection points can they have? How many intersections can two parabolas have? Do two parabolas always intersect? On graph paper, sketch a graph that fits each description below. Not every graph is possible. As you graph, consider the questions above. a. A line and a parabola that intersect twice.
b. A line and a parabola that intersect once.
c. A line and a parabola that intersect more than twice. d. Two parabolas that intersect twice.
e. Two parabolas that have an infinite number of intersections.
f. Two parabolas that never intersect.
g. Two parabolas that only intersect once.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.

-81 -56 -27 0 81

step-by-step explanation:

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex