1. if possible, find the equation for the axis of symmetry for the graph of a quadratic function with the given pair of
coordinates. if not possible, explain why.
a. (3, 10) (15, 10)
b. (−2, 6) (6,4)

Step-by-step explanation:

its almost always possible!

a)(3,10)(15,10)

note that y-coordinates of the points is the same. So we can visualize that both of these points lie on a single horizontal line.

A parabola that crosses both of these points must be along the y-axis as well.

The axis of symmetry lies in between these two points. So, what we need to do is only find the midpoint of the two points! let's denote the midpoint as

we don't really need to compute the y-coordinate of the midpoint since it is already known to be 10.

this point (9,10) lies on the axis of symmetry. since the parabola is along the y-axis. the axis of symmetry must be parallel to the y-axis. Hence the equation of the axis of symmetry is

sidenote:

funny thing is that axis of symmetry can also be y = 10, IF you think that the parabola 'squeezed' into a horizontal line. (but that's not gonna be a good answer, and it depends whether the answer is preferred or not, so i'm not gonna recommend this as an answer! Although, it's a good topic for discussion)

b. (-2, 6), (6,4)

we can find the midpoint of these points as well. Because the axis of symmetry always lies on the midpoint.

this time the axis of symmetry can either be along the x-axis or the y-axis since both are possible!

so, two answers are possible:

These are the possible equations of the axes of symmetry that can be formed by a parabola given the two coordinates.

sidenote:

The axis of symmetry always lies on the midpoints of the two coordinates! So its almost always possible that there will exist a parabola if only two coordinates are given (since only two coordinates are given, this allows us to be free in 'choosing' how the quadratic function would shape like in order cross any desired coordinate)

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

it can be to see completed examples before writing, in order to examine what makes for an effective piece. see how these intros give some context before posing the topic and lead naturally into the body paragraphs, where the evidence will be listed. you can imagine how the author has organized the rest of the piece.

"we buried my cousin last summer. he was 32 when he hanged himself from a closet coat rack in the throes of alcoholism, the fourth of my blood relatives to die prematurely from this deadly disease. if america issued drinking licenses, those four men—including my father, who died at 54 of liver failure—might be alive today. that is a good example piece   some steps that are .

. writing something that happened to you

.read a book you like to get ideas from there

. lastly you can make a venn diagram

hope this plz make brainliest

step-by-step explanation: